Finding the Third Proportional to 17,578 and 27,624

Step by Step Solution

1. Step 1: Write the proportion equation
   17,578 : 27,624 = 27,624 : x
2. Step 2: Convert to fraction form
   17,578/27,624 = 27,624/x
3. Step 3: Cross multiply
   17,578x = 27,624 × 27,624
4. Step 4: Simplify right side
   17,578x = 763,085,376
5. Step 5: Solve for x
   x = 763,085,376/17,578
6. Step 6: Final answer
   x = 43,411.39