Finding the Third Proportional to 17,724 and 27,424

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724 : 27,424 = 27,424 : x
2. Step 2: Convert to fraction form
   17,724/27,424 = 27,424/x
3. Step 3: Cross multiply
   17,724x = 27,424 × 27,424
4. Step 4: Simplify right side
   17,724x = 752,075,776
5. Step 5: Solve for x
   x = 752,075,776/17,724
6. Step 6: Final answer
   x = 42,432.62