Finding the Third Proportional to 6,680 and 14,500

Step by Step Solution

1. Step 1: Write the proportion equation
   6,680 : 14,500 = 14,500 : x
2. Step 2: Convert to fraction form
   6,680/14,500 = 14,500/x
3. Step 3: Cross multiply
   6,680x = 14,500 × 14,500
4. Step 4: Simplify right side
   6,680x = 210,250,000
5. Step 5: Solve for x
   x = 210,250,000/6,680
6. Step 6: Final answer
   x = 31,474.55