Finding the Third Proportional to 51,748.88 and 96,115.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,748.88 : 96,115.50 = 96,115.50 : x
2. Step 2: Convert to fraction form
   51,748.88/96,115.50 = 96,115.50/x
3. Step 3: Cross multiply
   51,748.88x = 96,115.50 × 96,115.50
4. Step 4: Simplify right side
   51,748.88x = 9,238,189,340.25
5. Step 5: Solve for x
   x = 9,238,189,340.25/51,748.88
6. Step 6: Final answer
   x = 178,519.62