Finding the Third Proportional to 763.91 and 1,673.89

Step by Step Solution

1. Step 1: Write the proportion equation
   763.91 : 1,673.89 = 1,673.89 : x
2. Step 2: Convert to fraction form
   763.91/1,673.89 = 1,673.89/x
3. Step 3: Cross multiply
   763.91x = 1,673.89 × 1,673.89
4. Step 4: Simplify right side
   763.91x = 2,801,922.90
5. Step 5: Solve for x
   x = 2,801,922.90/763.91
6. Step 6: Final answer
   x = 3,667.87