Finding the Third Proportional to 53,832.25 and 82,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,832.25 : 82,631.50 = 82,631.50 : x
2. Step 2: Convert to fraction form
   53,832.25/82,631.50 = 82,631.50/x
3. Step 3: Cross multiply
   53,832.25x = 82,631.50 × 82,631.50
4. Step 4: Simplify right side
   53,832.25x = 6,827,964,792.25
5. Step 5: Solve for x
   x = 6,827,964,792.25/53,832.25
6. Step 6: Final answer
   x = 126,837.81