Finding the Third Proportional to 17,724 and 27,426

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724 : 27,426 = 27,426 : x
2. Step 2: Convert to fraction form
   17,724/27,426 = 27,426/x
3. Step 3: Cross multiply
   17,724x = 27,426 × 27,426
4. Step 4: Simplify right side
   17,724x = 752,185,476
5. Step 5: Solve for x
   x = 752,185,476/17,724
6. Step 6: Final answer
   x = 42,438.81