Finding the Third Proportional to 10,478 and 22,774

Step by Step Solution

1. Step 1: Write the proportion equation
   10,478 : 22,774 = 22,774 : x
2. Step 2: Convert to fraction form
   10,478/22,774 = 22,774/x
3. Step 3: Cross multiply
   10,478x = 22,774 × 22,774
4. Step 4: Simplify right side
   10,478x = 518,655,076
5. Step 5: Solve for x
   x = 518,655,076/10,478
6. Step 6: Final answer
   x = 49,499.43