Finding the Third Proportional to 4,414.50 and 9,282.09

Step by Step Solution

1. Step 1: Write the proportion equation
   4,414.50 : 9,282.09 = 9,282.09 : x
2. Step 2: Convert to fraction form
   4,414.50/9,282.09 = 9,282.09/x
3. Step 3: Cross multiply
   4,414.50x = 9,282.09 × 9,282.09
4. Step 4: Simplify right side
   4,414.50x = 86,157,264.38
5. Step 5: Solve for x
   x = 86,157,264.38/4,414.50
6. Step 6: Final answer
   x = 19,516.88