Finding the Third Proportional to 15,902 and 34,540

Step by Step Solution

1. Step 1: Write the proportion equation
   15,902 : 34,540 = 34,540 : x
2. Step 2: Convert to fraction form
   15,902/34,540 = 34,540/x
3. Step 3: Cross multiply
   15,902x = 34,540 × 34,540
4. Step 4: Simplify right side
   15,902x = 1,193,011,600
5. Step 5: Solve for x
   x = 1,193,011,600/15,902
6. Step 6: Final answer
   x = 75,022.74