Finding the Third Proportional to 10,498 and 22,428

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498 : 22,428 = 22,428 : x
2. Step 2: Convert to fraction form
   10,498/22,428 = 22,428/x
3. Step 3: Cross multiply
   10,498x = 22,428 × 22,428
4. Step 4: Simplify right side
   10,498x = 503,015,184
5. Step 5: Solve for x
   x = 503,015,184/10,498
6. Step 6: Final answer
   x = 47,915.33