Finding the Third Proportional to 6,142.50 and 12,912.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142.50 : 12,912.75 = 12,912.75 : x
2. Step 2: Convert to fraction form
   6,142.50/12,912.75 = 12,912.75/x
3. Step 3: Cross multiply
   6,142.50x = 12,912.75 × 12,912.75
4. Step 4: Simplify right side
   6,142.50x = 166,739,112.56
5. Step 5: Solve for x
   x = 166,739,112.56/6,142.50
6. Step 6: Final answer
   x = 27,145.15