Finding the Third Proportional to 820.76 and 1,752.89

Step by Step Solution

1. Step 1: Write the proportion equation
   820.76 : 1,752.89 = 1,752.89 : x
2. Step 2: Convert to fraction form
   820.76/1,752.89 = 1,752.89/x
3. Step 3: Cross multiply
   820.76x = 1,752.89 × 1,752.89
4. Step 4: Simplify right side
   820.76x = 3,072,625.54
5. Step 5: Solve for x
   x = 3,072,625.54/820.76
6. Step 6: Final answer
   x = 3,743.64