Finding the Third Proportional to 861.38 and 1,763.25

Step by Step Solution

1. Step 1: Write the proportion equation
   861.38 : 1,763.25 = 1,763.25 : x
2. Step 2: Convert to fraction form
   861.38/1,763.25 = 1,763.25/x
3. Step 3: Cross multiply
   861.38x = 1,763.25 × 1,763.25
4. Step 4: Simplify right side
   861.38x = 3,109,050.56
5. Step 5: Solve for x
   x = 3,109,050.56/861.38
6. Step 6: Final answer
   x = 3,609.40