Finding the Third Proportional to 15,736 and 34,496

Step by Step Solution

1. Step 1: Write the proportion equation
   15,736 : 34,496 = 34,496 : x
2. Step 2: Convert to fraction form
   15,736/34,496 = 34,496/x
3. Step 3: Cross multiply
   15,736x = 34,496 × 34,496
4. Step 4: Simplify right side
   15,736x = 1,189,974,016
5. Step 5: Solve for x
   x = 1,189,974,016/15,736
6. Step 6: Final answer
   x = 75,621.12