Finding the Third Proportional to 6,980 and 14,600

Step by Step Solution

1. Step 1: Write the proportion equation
   6,980 : 14,600 = 14,600 : x
2. Step 2: Convert to fraction form
   6,980/14,600 = 14,600/x
3. Step 3: Cross multiply
   6,980x = 14,600 × 14,600
4. Step 4: Simplify right side
   6,980x = 213,160,000
5. Step 5: Solve for x
   x = 213,160,000/6,980
6. Step 6: Final answer
   x = 30,538.68