Finding the Third Proportional to 8,320 and 17,797

Step by Step Solution

1. Step 1: Write the proportion equation
   8,320 : 17,797 = 17,797 : x
2. Step 2: Convert to fraction form
   8,320/17,797 = 17,797/x
3. Step 3: Cross multiply
   8,320x = 17,797 × 17,797
4. Step 4: Simplify right side
   8,320x = 316,733,209
5. Step 5: Solve for x
   x = 316,733,209/8,320
6. Step 6: Final answer
   x = 38,068.90