Finding the Third Proportional to 1,942.50 and 2,940.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,942.50 : 2,940.75 = 2,940.75 : x
2. Step 2: Convert to fraction form
   1,942.50/2,940.75 = 2,940.75/x
3. Step 3: Cross multiply
   1,942.50x = 2,940.75 × 2,940.75
4. Step 4: Simplify right side
   1,942.50x = 8,648,010.56
5. Step 5: Solve for x
   x = 8,648,010.56/1,942.50
6. Step 6: Final answer
   x = 4,452.00