Finding the Third Proportional to 17,597 and 38,350

Step by Step Solution

1. Step 1: Write the proportion equation
   17,597 : 38,350 = 38,350 : x
2. Step 2: Convert to fraction form
   17,597/38,350 = 38,350/x
3. Step 3: Cross multiply
   17,597x = 38,350 × 38,350
4. Step 4: Simplify right side
   17,597x = 1,470,722,500
5. Step 5: Solve for x
   x = 1,470,722,500/17,597
6. Step 6: Final answer
   x = 83,578.02