Finding the Third Proportional to 2,665.41 and 3,720.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.41 : 3,720.94 = 3,720.94 : x
2. Step 2: Convert to fraction form
   2,665.41/3,720.94 = 3,720.94/x
3. Step 3: Cross multiply
   2,665.41x = 3,720.94 × 3,720.94
4. Step 4: Simplify right side
   2,665.41x = 13,845,375.88
5. Step 5: Solve for x
   x = 13,845,375.88/2,665.41
6. Step 6: Final answer
   x = 5,194.47