Finding the Third Proportional to 42,292 and 59,128

Step by Step Solution

1. Step 1: Write the proportion equation
   42,292 : 59,128 = 59,128 : x
2. Step 2: Convert to fraction form
   42,292/59,128 = 59,128/x
3. Step 3: Cross multiply
   42,292x = 59,128 × 59,128
4. Step 4: Simplify right side
   42,292x = 3,496,120,384
5. Step 5: Solve for x
   x = 3,496,120,384/42,292
6. Step 6: Final answer
   x = 82,666.23