Finding the Third Proportional to 7,404 and 17,727

Step by Step Solution

1. Step 1: Write the proportion equation
   7,404 : 17,727 = 17,727 : x
2. Step 2: Convert to fraction form
   7,404/17,727 = 17,727/x
3. Step 3: Cross multiply
   7,404x = 17,727 × 17,727
4. Step 4: Simplify right side
   7,404x = 314,246,529
5. Step 5: Solve for x
   x = 314,246,529/7,404
6. Step 6: Final answer
   x = 42,442.81