Finding the Third Proportional to 51,728.50 and 82,648.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,728.50 : 82,648.75 = 82,648.75 : x
2. Step 2: Convert to fraction form
   51,728.50/82,648.75 = 82,648.75/x
3. Step 3: Cross multiply
   51,728.50x = 82,648.75 × 82,648.75
4. Step 4: Simplify right side
   51,728.50x = 6,830,815,876.56
5. Step 5: Solve for x
   x = 6,830,815,876.56/51,728.50
6. Step 6: Final answer
   x = 132,051.30