Finding the Third Proportional to 6,694 and 14,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,694 : 14,142.50 = 14,142.50 : x
2. Step 2: Convert to fraction form
   6,694/14,142.50 = 14,142.50/x
3. Step 3: Cross multiply
   6,694x = 14,142.50 × 14,142.50
4. Step 4: Simplify right side
   6,694x = 200,010,306.25
5. Step 5: Solve for x
   x = 200,010,306.25/6,694
6. Step 6: Final answer
   x = 29,879.04