Finding the Third Proportional to 17,734 and 27,280

Step by Step Solution

1. Step 1: Write the proportion equation
   17,734 : 27,280 = 27,280 : x
2. Step 2: Convert to fraction form
   17,734/27,280 = 27,280/x
3. Step 3: Cross multiply
   17,734x = 27,280 × 27,280
4. Step 4: Simplify right side
   17,734x = 744,198,400
5. Step 5: Solve for x
   x = 744,198,400/17,734
6. Step 6: Final answer
   x = 41,964.50