Finding the Third Proportional to 10,498 and 22,182

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498 : 22,182 = 22,182 : x
2. Step 2: Convert to fraction form
   10,498/22,182 = 22,182/x
3. Step 3: Cross multiply
   10,498x = 22,182 × 22,182
4. Step 4: Simplify right side
   10,498x = 492,041,124
5. Step 5: Solve for x
   x = 492,041,124/10,498
6. Step 6: Final answer
   x = 46,869.99