Finding the Third Proportional to 10,876.50 and 16,345.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,876.50 : 16,345.13 = 16,345.13 : x
2. Step 2: Convert to fraction form
   10,876.50/16,345.13 = 16,345.13/x
3. Step 3: Cross multiply
   10,876.50x = 16,345.13 × 16,345.13
4. Step 4: Simplify right side
   10,876.50x = 267,163,111.27
5. Step 5: Solve for x
   x = 267,163,111.27/10,876.50
6. Step 6: Final answer
   x = 24,563.33