Finding the Third Proportional to 9,706.50 and 13,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,706.50 : 13,007.25 = 13,007.25 : x
2. Step 2: Convert to fraction form
   9,706.50/13,007.25 = 13,007.25/x
3. Step 3: Cross multiply
   9,706.50x = 13,007.25 × 13,007.25
4. Step 4: Simplify right side
   9,706.50x = 169,188,552.56
5. Step 5: Solve for x
   x = 169,188,552.56/9,706.50
6. Step 6: Final answer
   x = 17,430.44