Finding the Third Proportional to 53,855 and 82,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,855 : 82,663.50 = 82,663.50 : x
2. Step 2: Convert to fraction form
   53,855/82,663.50 = 82,663.50/x
3. Step 3: Cross multiply
   53,855x = 82,663.50 × 82,663.50
4. Step 4: Simplify right side
   53,855x = 6,833,254,232.25
5. Step 5: Solve for x
   x = 6,833,254,232.25/53,855
6. Step 6: Final answer
   x = 126,882.45