Finding the Third Proportional to 2,001.75 and 2,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.75 : 2,746.50 = 2,746.50 : x
2. Step 2: Convert to fraction form
   2,001.75/2,746.50 = 2,746.50/x
3. Step 3: Cross multiply
   2,001.75x = 2,746.50 × 2,746.50
4. Step 4: Simplify right side
   2,001.75x = 7,543,262.25
5. Step 5: Solve for x
   x = 7,543,262.25/2,001.75
6. Step 6: Final answer
   x = 3,768.33