Finding the Third Proportional to 647.63 and 1,341.38

Step by Step Solution

1. Step 1: Write the proportion equation
   647.63 : 1,341.38 = 1,341.38 : x
2. Step 2: Convert to fraction form
   647.63/1,341.38 = 1,341.38/x
3. Step 3: Cross multiply
   647.63x = 1,341.38 × 1,341.38
4. Step 4: Simplify right side
   647.63x = 1,799,286.89
5. Step 5: Solve for x
   x = 1,799,286.89/647.63
6. Step 6: Final answer
   x = 2,778.29