Finding the Third Proportional to 10,162.13 and 16,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,162.13 : 16,348.50 = 16,348.50 : x
2. Step 2: Convert to fraction form
   10,162.13/16,348.50 = 16,348.50/x
3. Step 3: Cross multiply
   10,162.13x = 16,348.50 × 16,348.50
4. Step 4: Simplify right side
   10,162.13x = 267,273,452.25
5. Step 5: Solve for x
   x = 267,273,452.25/10,162.13
6. Step 6: Final answer
   x = 26,300.94