Finding the Third Proportional to 7,651.75 and 15,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,651.75 : 15,714.50 = 15,714.50 : x
2. Step 2: Convert to fraction form
   7,651.75/15,714.50 = 15,714.50/x
3. Step 3: Cross multiply
   7,651.75x = 15,714.50 × 15,714.50
4. Step 4: Simplify right side
   7,651.75x = 246,945,510.25
5. Step 5: Solve for x
   x = 246,945,510.25/7,651.75
6. Step 6: Final answer
   x = 32,273.08