Finding the Third Proportional to 825.82 and 1,207.72

Step by Step Solution

1. Step 1: Write the proportion equation
   825.82 : 1,207.72 = 1,207.72 : x
2. Step 2: Convert to fraction form
   825.82/1,207.72 = 1,207.72/x
3. Step 3: Cross multiply
   825.82x = 1,207.72 × 1,207.72
4. Step 4: Simplify right side
   825.82x = 1,458,594.01
5. Step 5: Solve for x
   x = 1,458,594.01/825.82
6. Step 6: Final answer
   x = 1,766.24