Finding the Third Proportional to 10,407 and 16,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407 : 16,540.50 = 16,540.50 : x
2. Step 2: Convert to fraction form
   10,407/16,540.50 = 16,540.50/x
3. Step 3: Cross multiply
   10,407x = 16,540.50 × 16,540.50
4. Step 4: Simplify right side
   10,407x = 273,588,140.25
5. Step 5: Solve for x
   x = 273,588,140.25/10,407
6. Step 6: Final answer
   x = 26,288.86