Finding the Third Proportional to 15,772 and 34,460

Step by Step Solution

1. Step 1: Write the proportion equation
   15,772 : 34,460 = 34,460 : x
2. Step 2: Convert to fraction form
   15,772/34,460 = 34,460/x
3. Step 3: Cross multiply
   15,772x = 34,460 × 34,460
4. Step 4: Simplify right side
   15,772x = 1,187,491,600
5. Step 5: Solve for x
   x = 1,187,491,600/15,772
6. Step 6: Final answer
   x = 75,291.12