Finding the Third Proportional to 1,957.50 and 2,783.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,957.50 : 2,783.25 = 2,783.25 : x
2. Step 2: Convert to fraction form
   1,957.50/2,783.25 = 2,783.25/x
3. Step 3: Cross multiply
   1,957.50x = 2,783.25 × 2,783.25
4. Step 4: Simplify right side
   1,957.50x = 7,746,480.56
5. Step 5: Solve for x
   x = 7,746,480.56/1,957.50
6. Step 6: Final answer
   x = 3,957.33