Finding the Third Proportional to 7,151.50 and 9,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,151.50 : 9,664.50 = 9,664.50 : x
2. Step 2: Convert to fraction form
   7,151.50/9,664.50 = 9,664.50/x
3. Step 3: Cross multiply
   7,151.50x = 9,664.50 × 9,664.50
4. Step 4: Simplify right side
   7,151.50x = 93,402,560.25
5. Step 5: Solve for x
   x = 93,402,560.25/7,151.50
6. Step 6: Final answer
   x = 13,060.56