Finding the Third Proportional to 2,592.50 and 3,942.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.50 : 3,942.75 = 3,942.75 : x
2. Step 2: Convert to fraction form
   2,592.50/3,942.75 = 3,942.75/x
3. Step 3: Cross multiply
   2,592.50x = 3,942.75 × 3,942.75
4. Step 4: Simplify right side
   2,592.50x = 15,545,277.56
5. Step 5: Solve for x
   x = 15,545,277.56/2,592.50
6. Step 6: Final answer
   x = 5,996.25