Finding the Third Proportional to 35,384 and 74,608

Step by Step Solution

1. Step 1: Write the proportion equation
   35,384 : 74,608 = 74,608 : x
2. Step 2: Convert to fraction form
   35,384/74,608 = 74,608/x
3. Step 3: Cross multiply
   35,384x = 74,608 × 74,608
4. Step 4: Simplify right side
   35,384x = 5,566,353,664
5. Step 5: Solve for x
   x = 5,566,353,664/35,384
6. Step 6: Final answer
   x = 157,312.73