Finding the Third Proportional to 1,957.25 and 2,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,957.25 : 2,665.75 = 2,665.75 : x
2. Step 2: Convert to fraction form
   1,957.25/2,665.75 = 2,665.75/x
3. Step 3: Cross multiply
   1,957.25x = 2,665.75 × 2,665.75
4. Step 4: Simplify right side
   1,957.25x = 7,106,223.06
5. Step 5: Solve for x
   x = 7,106,223.06/1,957.25
6. Step 6: Final answer
   x = 3,630.72