Finding the Third Proportional to 7,497.50 and 10,680.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,497.50 : 10,680.25 = 10,680.25 : x
2. Step 2: Convert to fraction form
   7,497.50/10,680.25 = 10,680.25/x
3. Step 3: Cross multiply
   7,497.50x = 10,680.25 × 10,680.25
4. Step 4: Simplify right side
   7,497.50x = 114,067,740.06
5. Step 5: Solve for x
   x = 114,067,740.06/7,497.50
6. Step 6: Final answer
   x = 15,214.10