Finding the Third Proportional to 825.38 and 1,279.88

Step by Step Solution

1. Step 1: Write the proportion equation
   825.38 : 1,279.88 = 1,279.88 : x
2. Step 2: Convert to fraction form
   825.38/1,279.88 = 1,279.88/x
3. Step 3: Cross multiply
   825.38x = 1,279.88 × 1,279.88
4. Step 4: Simplify right side
   825.38x = 1,638,080.02
5. Step 5: Solve for x
   x = 1,638,080.02/825.38
6. Step 6: Final answer
   x = 1,984.65