Finding the Third Proportional to 17,960 and 38,564

Step by Step Solution

1. Step 1: Write the proportion equation
   17,960 : 38,564 = 38,564 : x
2. Step 2: Convert to fraction form
   17,960/38,564 = 38,564/x
3. Step 3: Cross multiply
   17,960x = 38,564 × 38,564
4. Step 4: Simplify right side
   17,960x = 1,487,182,096
5. Step 5: Solve for x
   x = 1,487,182,096/17,960
6. Step 6: Final answer
   x = 82,805.24