Finding the Third Proportional to 2,416.50 and 3,675.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,416.50 : 3,675.38 = 3,675.38 : x
2. Step 2: Convert to fraction form
   2,416.50/3,675.38 = 3,675.38/x
3. Step 3: Cross multiply
   2,416.50x = 3,675.38 × 3,675.38
4. Step 4: Simplify right side
   2,416.50x = 13,508,381.39
5. Step 5: Solve for x
   x = 13,508,381.39/2,416.50
6. Step 6: Final answer
   x = 5,590.06