Finding the Third Proportional to 9,649.50 and 13,032.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.50 : 13,032.75 = 13,032.75 : x
2. Step 2: Convert to fraction form
   9,649.50/13,032.75 = 13,032.75/x
3. Step 3: Cross multiply
   9,649.50x = 13,032.75 × 13,032.75
4. Step 4: Simplify right side
   9,649.50x = 169,852,572.56
5. Step 5: Solve for x
   x = 169,852,572.56/9,649.50
6. Step 6: Final answer
   x = 17,602.21