Finding the Third Proportional to 10,786 and 22,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786 : 22,857.50 = 22,857.50 : x
2. Step 2: Convert to fraction form
   10,786/22,857.50 = 22,857.50/x
3. Step 3: Cross multiply
   10,786x = 22,857.50 × 22,857.50
4. Step 4: Simplify right side
   10,786x = 522,465,306.25
5. Step 5: Solve for x
   x = 522,465,306.25/10,786
6. Step 6: Final answer
   x = 48,439.21