Finding the Third Proportional to 22,498 and 34,429

Step by Step Solution

1. Step 1: Write the proportion equation
   22,498 : 34,429 = 34,429 : x
2. Step 2: Convert to fraction form
   22,498/34,429 = 34,429/x
3. Step 3: Cross multiply
   22,498x = 34,429 × 34,429
4. Step 4: Simplify right side
   22,498x = 1,185,356,041
5. Step 5: Solve for x
   x = 1,185,356,041/22,498
6. Step 6: Final answer
   x = 52,687.17