Finding the Third Proportional to 55,029 and 82,665

Step by Step Solution

1. Step 1: Write the proportion equation
   55,029 : 82,665 = 82,665 : x
2. Step 2: Convert to fraction form
   55,029/82,665 = 82,665/x
3. Step 3: Cross multiply
   55,029x = 82,665 × 82,665
4. Step 4: Simplify right side
   55,029x = 6,833,502,225
5. Step 5: Solve for x
   x = 6,833,502,225/55,029
6. Step 6: Final answer
   x = 124,180.02