Finding the Third Proportional to 53,832.38 and 82,631.81

Step by Step Solution

1. Step 1: Write the proportion equation
   53,832.38 : 82,631.81 = 82,631.81 : x
2. Step 2: Convert to fraction form
   53,832.38/82,631.81 = 82,631.81/x
3. Step 3: Cross multiply
   53,832.38x = 82,631.81 × 82,631.81
4. Step 4: Simplify right side
   53,832.38x = 6,828,016,437.04
5. Step 5: Solve for x
   x = 6,828,016,437.04/53,832.38
6. Step 6: Final answer
   x = 126,838.48