Finding the Third Proportional to 6,980 and 16,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,980 : 16,464.50 = 16,464.50 : x
2. Step 2: Convert to fraction form
   6,980/16,464.50 = 16,464.50/x
3. Step 3: Cross multiply
   6,980x = 16,464.50 × 16,464.50
4. Step 4: Simplify right side
   6,980x = 271,079,760.25
5. Step 5: Solve for x
   x = 271,079,760.25/6,980
6. Step 6: Final answer
   x = 38,836.64