Finding the Third Proportional to 53,714.81 and 82,287.56

Step by Step Solution

1. Step 1: Write the proportion equation
   53,714.81 : 82,287.56 = 82,287.56 : x
2. Step 2: Convert to fraction form
   53,714.81/82,287.56 = 82,287.56/x
3. Step 3: Cross multiply
   53,714.81x = 82,287.56 × 82,287.56
4. Step 4: Simplify right side
   53,714.81x = 6,771,242,942.19
5. Step 5: Solve for x
   x = 6,771,242,942.19/53,714.81
6. Step 6: Final answer
   x = 126,059.14