Finding the Third Proportional to 15,792 and 34,464

Step by Step Solution

1. Step 1: Write the proportion equation
   15,792 : 34,464 = 34,464 : x
2. Step 2: Convert to fraction form
   15,792/34,464 = 34,464/x
3. Step 3: Cross multiply
   15,792x = 34,464 × 34,464
4. Step 4: Simplify right side
   15,792x = 1,187,767,296
5. Step 5: Solve for x
   x = 1,187,767,296/15,792
6. Step 6: Final answer
   x = 75,213.23