Finding the Third Proportional to 5,926.50 and 8,142.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,926.50 : 8,142.75 = 8,142.75 : x
2. Step 2: Convert to fraction form
   5,926.50/8,142.75 = 8,142.75/x
3. Step 3: Cross multiply
   5,926.50x = 8,142.75 × 8,142.75
4. Step 4: Simplify right side
   5,926.50x = 66,304,377.56
5. Step 5: Solve for x
   x = 66,304,377.56/5,926.50
6. Step 6: Final answer
   x = 11,187.78