Finding the Third Proportional to 2,756.50 and 5,735.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,756.50 : 5,735.75 = 5,735.75 : x
2. Step 2: Convert to fraction form
   2,756.50/5,735.75 = 5,735.75/x
3. Step 3: Cross multiply
   2,756.50x = 5,735.75 × 5,735.75
4. Step 4: Simplify right side
   2,756.50x = 32,898,828.06
5. Step 5: Solve for x
   x = 32,898,828.06/2,756.50
6. Step 6: Final answer
   x = 11,935.00