Finding the Third Proportional to 10,766 and 15,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766 : 15,723.50 = 15,723.50 : x
2. Step 2: Convert to fraction form
   10,766/15,723.50 = 15,723.50/x
3. Step 3: Cross multiply
   10,766x = 15,723.50 × 15,723.50
4. Step 4: Simplify right side
   10,766x = 247,228,452.25
5. Step 5: Solve for x
   x = 247,228,452.25/10,766
6. Step 6: Final answer
   x = 22,963.82