Finding the Third Proportional to 8,078 and 17,389

Step by Step Solution

1. Step 1: Write the proportion equation
   8,078 : 17,389 = 17,389 : x
2. Step 2: Convert to fraction form
   8,078/17,389 = 17,389/x
3. Step 3: Cross multiply
   8,078x = 17,389 × 17,389
4. Step 4: Simplify right side
   8,078x = 302,377,321
5. Step 5: Solve for x
   x = 302,377,321/8,078
6. Step 6: Final answer
   x = 37,432.20