Finding the Third Proportional to 53,494.88 and 82,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,494.88 : 82,786.50 = 82,786.50 : x
2. Step 2: Convert to fraction form
   53,494.88/82,786.50 = 82,786.50/x
3. Step 3: Cross multiply
   53,494.88x = 82,786.50 × 82,786.50
4. Step 4: Simplify right side
   53,494.88x = 6,853,604,582.25
5. Step 5: Solve for x
   x = 6,853,604,582.25/53,494.88
6. Step 6: Final answer
   x = 128,117.03