Finding the Third Proportional to 10,415 and 22,494

Step by Step Solution

1. Step 1: Write the proportion equation
   10,415 : 22,494 = 22,494 : x
2. Step 2: Convert to fraction form
   10,415/22,494 = 22,494/x
3. Step 3: Cross multiply
   10,415x = 22,494 × 22,494
4. Step 4: Simplify right side
   10,415x = 505,980,036
5. Step 5: Solve for x
   x = 505,980,036/10,415
6. Step 6: Final answer
   x = 48,581.86