Finding the Third Proportional to 53,241 and 82,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,241 : 82,552.50 = 82,552.50 : x
2. Step 2: Convert to fraction form
   53,241/82,552.50 = 82,552.50/x
3. Step 3: Cross multiply
   53,241x = 82,552.50 × 82,552.50
4. Step 4: Simplify right side
   53,241x = 6,814,915,256.25
5. Step 5: Solve for x
   x = 6,814,915,256.25/53,241
6. Step 6: Final answer
   x = 128,001.26