Finding the Third Proportional to 53,057.53 and 82,814.91

Step by Step Solution

1. Step 1: Write the proportion equation
   53,057.53 : 82,814.91 = 82,814.91 : x
2. Step 2: Convert to fraction form
   53,057.53/82,814.91 = 82,814.91/x
3. Step 3: Cross multiply
   53,057.53x = 82,814.91 × 82,814.91
4. Step 4: Simplify right side
   53,057.53x = 6,858,308,697.20
5. Step 5: Solve for x
   x = 6,858,308,697.20/53,057.53
6. Step 6: Final answer
   x = 129,261.74