Finding the Third Proportional to 53,469.50 and 82,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,469.50 : 82,782.50 = 82,782.50 : x
2. Step 2: Convert to fraction form
   53,469.50/82,782.50 = 82,782.50/x
3. Step 3: Cross multiply
   53,469.50x = 82,782.50 × 82,782.50
4. Step 4: Simplify right side
   53,469.50x = 6,852,942,306.25
5. Step 5: Solve for x
   x = 6,852,942,306.25/53,469.50
6. Step 6: Final answer
   x = 128,165.45