Finding the Third Proportional to 1,677.38 and 3,686.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,677.38 : 3,686.63 = 3,686.63 : x
2. Step 2: Convert to fraction form
   1,677.38/3,686.63 = 3,686.63/x
3. Step 3: Cross multiply
   1,677.38x = 3,686.63 × 3,686.63
4. Step 4: Simplify right side
   1,677.38x = 13,591,203.89
5. Step 5: Solve for x
   x = 13,591,203.89/1,677.38
6. Step 6: Final answer
   x = 8,102.66