Finding the Third Proportional to 9,499.78 and 14,581.27

Step by Step Solution

1. Step 1: Write the proportion equation
   9,499.78 : 14,581.27 = 14,581.27 : x
2. Step 2: Convert to fraction form
   9,499.78/14,581.27 = 14,581.27/x
3. Step 3: Cross multiply
   9,499.78x = 14,581.27 × 14,581.27
4. Step 4: Simplify right side
   9,499.78x = 212,613,307.23
5. Step 5: Solve for x
   x = 212,613,307.23/9,499.78
6. Step 6: Final answer
   x = 22,380.86