Finding the Third Proportional to 10,490 and 22,825

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490 : 22,825 = 22,825 : x
2. Step 2: Convert to fraction form
   10,490/22,825 = 22,825/x
3. Step 3: Cross multiply
   10,490x = 22,825 × 22,825
4. Step 4: Simplify right side
   10,490x = 520,980,625
5. Step 5: Solve for x
   x = 520,980,625/10,490
6. Step 6: Final answer
   x = 49,664.50