Finding the Third Proportional to 10,426 and 22,492

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426 : 22,492 = 22,492 : x
2. Step 2: Convert to fraction form
   10,426/22,492 = 22,492/x
3. Step 3: Cross multiply
   10,426x = 22,492 × 22,492
4. Step 4: Simplify right side
   10,426x = 505,890,064
5. Step 5: Solve for x
   x = 505,890,064/10,426
6. Step 6: Final answer
   x = 48,521.97