Finding the Third Proportional to 8,138 and 17,680

Step by Step Solution

1. Step 1: Write the proportion equation
   8,138 : 17,680 = 17,680 : x
2. Step 2: Convert to fraction form
   8,138/17,680 = 17,680/x
3. Step 3: Cross multiply
   8,138x = 17,680 × 17,680
4. Step 4: Simplify right side
   8,138x = 312,582,400
5. Step 5: Solve for x
   x = 312,582,400/8,138
6. Step 6: Final answer
   x = 38,410.22