Finding the Third Proportional to 10,744.31 and 16,115.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,744.31 : 16,115.63 = 16,115.63 : x
2. Step 2: Convert to fraction form
   10,744.31/16,115.63 = 16,115.63/x
3. Step 3: Cross multiply
   10,744.31x = 16,115.63 × 16,115.63
4. Step 4: Simplify right side
   10,744.31x = 259,713,369.14
5. Step 5: Solve for x
   x = 259,713,369.14/10,744.31
6. Step 6: Final answer
   x = 24,172.17