Finding the Third Proportional to 1,337.50 and 2,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,337.50 : 2,096.75 = 2,096.75 : x
2. Step 2: Convert to fraction form
   1,337.50/2,096.75 = 2,096.75/x
3. Step 3: Cross multiply
   1,337.50x = 2,096.75 × 2,096.75
4. Step 4: Simplify right side
   1,337.50x = 4,396,360.56
5. Step 5: Solve for x
   x = 4,396,360.56/1,337.50
6. Step 6: Final answer
   x = 3,287.00