Finding the Third Proportional to 10,902.38 and 16,149.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,902.38 : 16,149.38 = 16,149.38 : x
2. Step 2: Convert to fraction form
   10,902.38/16,149.38 = 16,149.38/x
3. Step 3: Cross multiply
   10,902.38x = 16,149.38 × 16,149.38
4. Step 4: Simplify right side
   10,902.38x = 260,802,312.89
5. Step 5: Solve for x
   x = 260,802,312.89/10,902.38
6. Step 6: Final answer
   x = 23,921.61