Finding the Third Proportional to 53,856 and 82,665

Step by Step Solution

1. Step 1: Write the proportion equation
   53,856 : 82,665 = 82,665 : x
2. Step 2: Convert to fraction form
   53,856/82,665 = 82,665/x
3. Step 3: Cross multiply
   53,856x = 82,665 × 82,665
4. Step 4: Simplify right side
   53,856x = 6,833,502,225
5. Step 5: Solve for x
   x = 6,833,502,225/53,856
6. Step 6: Final answer
   x = 126,884.70