Finding the Third Proportional to 17,624 and 25,774

Step by Step Solution

1. Step 1: Write the proportion equation
   17,624 : 25,774 = 25,774 : x
2. Step 2: Convert to fraction form
   17,624/25,774 = 25,774/x
3. Step 3: Cross multiply
   17,624x = 25,774 × 25,774
4. Step 4: Simplify right side
   17,624x = 664,299,076
5. Step 5: Solve for x
   x = 664,299,076/17,624
6. Step 6: Final answer
   x = 37,692.87