Finding the Third Proportional to 2,385.09 and 3,648.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,385.09 : 3,648.66 = 3,648.66 : x
2. Step 2: Convert to fraction form
   2,385.09/3,648.66 = 3,648.66/x
3. Step 3: Cross multiply
   2,385.09x = 3,648.66 × 3,648.66
4. Step 4: Simplify right side
   2,385.09x = 13,312,692.43
5. Step 5: Solve for x
   x = 13,312,692.43/2,385.09
6. Step 6: Final answer
   x = 5,581.62