Finding the Third Proportional to 10,566 and 22,900

Step by Step Solution

1. Step 1: Write the proportion equation
   10,566 : 22,900 = 22,900 : x
2. Step 2: Convert to fraction form
   10,566/22,900 = 22,900/x
3. Step 3: Cross multiply
   10,566x = 22,900 × 22,900
4. Step 4: Simplify right side
   10,566x = 524,410,000
5. Step 5: Solve for x
   x = 524,410,000/10,566
6. Step 6: Final answer
   x = 49,631.84