Finding the Third Proportional to 9,396 and 12,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,396 : 12,655.50 = 12,655.50 : x
2. Step 2: Convert to fraction form
   9,396/12,655.50 = 12,655.50/x
3. Step 3: Cross multiply
   9,396x = 12,655.50 × 12,655.50
4. Step 4: Simplify right side
   9,396x = 160,161,680.25
5. Step 5: Solve for x
   x = 160,161,680.25/9,396
6. Step 6: Final answer
   x = 17,045.73