Finding the Third Proportional to 42,662 and 59,655

Step by Step Solution

1. Step 1: Write the proportion equation
   42,662 : 59,655 = 59,655 : x
2. Step 2: Convert to fraction form
   42,662/59,655 = 59,655/x
3. Step 3: Cross multiply
   42,662x = 59,655 × 59,655
4. Step 4: Simplify right side
   42,662x = 3,558,719,025
5. Step 5: Solve for x
   x = 3,558,719,025/42,662
6. Step 6: Final answer
   x = 83,416.60