Finding the Third Proportional to 17,624 and 27,404

Step by Step Solution

1. Step 1: Write the proportion equation
   17,624 : 27,404 = 27,404 : x
2. Step 2: Convert to fraction form
   17,624/27,404 = 27,404/x
3. Step 3: Cross multiply
   17,624x = 27,404 × 27,404
4. Step 4: Simplify right side
   17,624x = 750,979,216
5. Step 5: Solve for x
   x = 750,979,216/17,624
6. Step 6: Final answer
   x = 42,611.17