Finding the Third Proportional to 42,678,206,394,060 and 57,582,921,035,424

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678,206,394,060 : 57,582,921,035,424 = 57,582,921,035,424 : x
2. Step 2: Convert to fraction form
   42,678,206,394,060/57,582,921,035,424 = 57,582,921,035,424/x
3. Step 3: Cross multiply
   42,678,206,394,060x = 57,582,921,035,424 × 57,582,921,035,424
4. Step 4: Simplify right side
   42,678,206,394,060x = 3,315,792,794,971,875,946,851,729,408
5. Step 5: Solve for x
   x = 3,315,792,794,971,875,946,851,729,408/42,678,206,394,060
6. Step 6: Final answer
   x = 77,692,880,632,241.66