Finding the Third Proportional to 6,500.25 and 9,706.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500.25 : 9,706.88 = 9,706.88 : x
2. Step 2: Convert to fraction form
   6,500.25/9,706.88 = 9,706.88/x
3. Step 3: Cross multiply
   6,500.25x = 9,706.88 × 9,706.88
4. Step 4: Simplify right side
   6,500.25x = 94,223,422.27
5. Step 5: Solve for x
   x = 94,223,422.27/6,500.25
6. Step 6: Final answer
   x = 14,495.35