Finding the Third Proportional to 6,298.50 and 13,731

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298.50 : 13,731 = 13,731 : x
2. Step 2: Convert to fraction form
   6,298.50/13,731 = 13,731/x
3. Step 3: Cross multiply
   6,298.50x = 13,731 × 13,731
4. Step 4: Simplify right side
   6,298.50x = 188,540,361
5. Step 5: Solve for x
   x = 188,540,361/6,298.50
6. Step 6: Final answer
   x = 29,934.17