Finding the Third Proportional to 10,418 and 22,465.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,418 : 22,465.25 = 22,465.25 : x
2. Step 2: Convert to fraction form
   10,418/22,465.25 = 22,465.25/x
3. Step 3: Cross multiply
   10,418x = 22,465.25 × 22,465.25
4. Step 4: Simplify right side
   10,418x = 504,687,457.56
5. Step 5: Solve for x
   x = 504,687,457.56/10,418
6. Step 6: Final answer
   x = 48,443.80