Finding the Third Proportional to 10,666 and 22,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,666 : 22,911.50 = 22,911.50 : x
2. Step 2: Convert to fraction form
   10,666/22,911.50 = 22,911.50/x
3. Step 3: Cross multiply
   10,666x = 22,911.50 × 22,911.50
4. Step 4: Simplify right side
   10,666x = 524,936,832.25
5. Step 5: Solve for x
   x = 524,936,832.25/10,666
6. Step 6: Final answer
   x = 49,215.90