Finding the Third Proportional to 42,655 and 59,665

Step by Step Solution

1. Step 1: Write the proportion equation
   42,655 : 59,665 = 59,665 : x
2. Step 2: Convert to fraction form
   42,655/59,665 = 59,665/x
3. Step 3: Cross multiply
   42,655x = 59,665 × 59,665
4. Step 4: Simplify right side
   42,655x = 3,559,912,225
5. Step 5: Solve for x
   x = 3,559,912,225/42,655
6. Step 6: Final answer
   x = 83,458.26