Finding the Third Proportional to 53,338.50 and 82,559.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,338.50 : 82,559.25 = 82,559.25 : x
2. Step 2: Convert to fraction form
   53,338.50/82,559.25 = 82,559.25/x
3. Step 3: Cross multiply
   53,338.50x = 82,559.25 × 82,559.25
4. Step 4: Simplify right side
   53,338.50x = 6,816,029,760.56
5. Step 5: Solve for x
   x = 6,816,029,760.56/53,338.50
6. Step 6: Final answer
   x = 127,788.18