Finding the Third Proportional to 2,057.50 and 2,940.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,057.50 : 2,940.16 = 2,940.16 : x
2. Step 2: Convert to fraction form
   2,057.50/2,940.16 = 2,940.16/x
3. Step 3: Cross multiply
   2,057.50x = 2,940.16 × 2,940.16
4. Step 4: Simplify right side
   2,057.50x = 8,644,518.77
5. Step 5: Solve for x
   x = 8,644,518.77/2,057.50
6. Step 6: Final answer
   x = 4,201.47