Finding the Third Proportional to 1,671.57 and 3,616.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,671.57 : 3,616.52 = 3,616.52 : x
2. Step 2: Convert to fraction form
   1,671.57/3,616.52 = 3,616.52/x
3. Step 3: Cross multiply
   1,671.57x = 3,616.52 × 3,616.52
4. Step 4: Simplify right side
   1,671.57x = 13,079,241.77
5. Step 5: Solve for x
   x = 13,079,241.77/1,671.57
6. Step 6: Final answer
   x = 7,824.51