Finding the Third Proportional to 9,142.88 and 13,655.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142.88 : 13,655.25 = 13,655.25 : x
2. Step 2: Convert to fraction form
   9,142.88/13,655.25 = 13,655.25/x
3. Step 3: Cross multiply
   9,142.88x = 13,655.25 × 13,655.25
4. Step 4: Simplify right side
   9,142.88x = 186,465,852.56
5. Step 5: Solve for x
   x = 186,465,852.56/9,142.88
6. Step 6: Final answer
   x = 20,394.66