Finding the Third Proportional to 10,726.31 and 16,408.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,726.31 : 16,408.69 = 16,408.69 : x
2. Step 2: Convert to fraction form
   10,726.31/16,408.69 = 16,408.69/x
3. Step 3: Cross multiply
   10,726.31x = 16,408.69 × 16,408.69
4. Step 4: Simplify right side
   10,726.31x = 269,245,025.47
5. Step 5: Solve for x
   x = 269,245,025.47/10,726.31
6. Step 6: Final answer
   x = 25,101.36