Finding the Third Proportional to 17,697 and 38,517

Step by Step Solution

1. Step 1: Write the proportion equation
   17,697 : 38,517 = 38,517 : x
2. Step 2: Convert to fraction form
   17,697/38,517 = 38,517/x
3. Step 3: Cross multiply
   17,697x = 38,517 × 38,517
4. Step 4: Simplify right side
   17,697x = 1,483,559,289
5. Step 5: Solve for x
   x = 1,483,559,289/17,697
6. Step 6: Final answer
   x = 83,831.12