Finding the Third Proportional to 53,498.25 and 82,793.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,498.25 : 82,793.25 = 82,793.25 : x
2. Step 2: Convert to fraction form
   53,498.25/82,793.25 = 82,793.25/x
3. Step 3: Cross multiply
   53,498.25x = 82,793.25 × 82,793.25
4. Step 4: Simplify right side
   53,498.25x = 6,854,722,245.56
5. Step 5: Solve for x
   x = 6,854,722,245.56/53,498.25
6. Step 6: Final answer
   x = 128,129.84