Finding the Third Proportional to 10,983.50 and 12,698

Step by Step Solution

1. Step 1: Write the proportion equation
   10,983.50 : 12,698 = 12,698 : x
2. Step 2: Convert to fraction form
   10,983.50/12,698 = 12,698/x
3. Step 3: Cross multiply
   10,983.50x = 12,698 × 12,698
4. Step 4: Simplify right side
   10,983.50x = 161,239,204
5. Step 5: Solve for x
   x = 161,239,204/10,983.50
6. Step 6: Final answer
   x = 14,680.13