Finding the Third Proportional to 53,494.31 and 82,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,494.31 : 82,788.75 = 82,788.75 : x
2. Step 2: Convert to fraction form
   53,494.31/82,788.75 = 82,788.75/x
3. Step 3: Cross multiply
   53,494.31x = 82,788.75 × 82,788.75
4. Step 4: Simplify right side
   53,494.31x = 6,853,977,126.56
5. Step 5: Solve for x
   x = 6,853,977,126.56/53,494.31
6. Step 6: Final answer
   x = 128,125.34