Finding the Third Proportional to 42,678 and 59,778

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678 : 59,778 = 59,778 : x
2. Step 2: Convert to fraction form
   42,678/59,778 = 59,778/x
3. Step 3: Cross multiply
   42,678x = 59,778 × 59,778
4. Step 4: Simplify right side
   42,678x = 3,573,409,284
5. Step 5: Solve for x
   x = 3,573,409,284/42,678
6. Step 6: Final answer
   x = 83,729.54