Finding the Third Proportional to 17,980 and 38,624

Step by Step Solution

1. Step 1: Write the proportion equation
   17,980 : 38,624 = 38,624 : x
2. Step 2: Convert to fraction form
   17,980/38,624 = 38,624/x
3. Step 3: Cross multiply
   17,980x = 38,624 × 38,624
4. Step 4: Simplify right side
   17,980x = 1,491,813,376
5. Step 5: Solve for x
   x = 1,491,813,376/17,980
6. Step 6: Final answer
   x = 82,970.71