Finding the Third Proportional to 15,768 and 34,396

Step by Step Solution

1. Step 1: Write the proportion equation
   15,768 : 34,396 = 34,396 : x
2. Step 2: Convert to fraction form
   15,768/34,396 = 34,396/x
3. Step 3: Cross multiply
   15,768x = 34,396 × 34,396
4. Step 4: Simplify right side
   15,768x = 1,183,084,816
5. Step 5: Solve for x
   x = 1,183,084,816/15,768
6. Step 6: Final answer
   x = 75,030.75