Finding the Third Proportional to 8,080 and 17,380

Step by Step Solution

1. Step 1: Write the proportion equation
   8,080 : 17,380 = 17,380 : x
2. Step 2: Convert to fraction form
   8,080/17,380 = 17,380/x
3. Step 3: Cross multiply
   8,080x = 17,380 × 17,380
4. Step 4: Simplify right side
   8,080x = 302,064,400
5. Step 5: Solve for x
   x = 302,064,400/8,080
6. Step 6: Final answer
   x = 37,384.21