Finding the Third Proportional to 10,637.17 and 16,238.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,637.17 : 16,238.57 = 16,238.57 : x
2. Step 2: Convert to fraction form
   10,637.17/16,238.57 = 16,238.57/x
3. Step 3: Cross multiply
   10,637.17x = 16,238.57 × 16,238.57
4. Step 4: Simplify right side
   10,637.17x = 263,690,996.56
5. Step 5: Solve for x
   x = 263,690,996.56/10,637.17
6. Step 6: Final answer
   x = 24,789.58