Finding the Third Proportional to 2,023 and 2,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,023 : 2,756.50 = 2,756.50 : x
2. Step 2: Convert to fraction form
   2,023/2,756.50 = 2,756.50/x
3. Step 3: Cross multiply
   2,023x = 2,756.50 × 2,756.50
4. Step 4: Simplify right side
   2,023x = 7,598,292.25
5. Step 5: Solve for x
   x = 7,598,292.25/2,023
6. Step 6: Final answer
   x = 3,755.95