Finding the Third Proportional to 15,662 and 34,341

Step by Step Solution

1. Step 1: Write the proportion equation
   15,662 : 34,341 = 34,341 : x
2. Step 2: Convert to fraction form
   15,662/34,341 = 34,341/x
3. Step 3: Cross multiply
   15,662x = 34,341 × 34,341
4. Step 4: Simplify right side
   15,662x = 1,179,304,281
5. Step 5: Solve for x
   x = 1,179,304,281/15,662
6. Step 6: Final answer
   x = 75,297.17