Finding the Third Proportional to 51,682.50 and 81,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,682.50 : 81,978.75 = 81,978.75 : x
2. Step 2: Convert to fraction form
   51,682.50/81,978.75 = 81,978.75/x
3. Step 3: Cross multiply
   51,682.50x = 81,978.75 × 81,978.75
4. Step 4: Simplify right side
   51,682.50x = 6,720,515,451.56
5. Step 5: Solve for x
   x = 6,720,515,451.56/51,682.50
6. Step 6: Final answer
   x = 130,034.64