Finding the Third Proportional to 2,602.41 and 3,968.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.41 : 3,968.72 = 3,968.72 : x
2. Step 2: Convert to fraction form
   2,602.41/3,968.72 = 3,968.72/x
3. Step 3: Cross multiply
   2,602.41x = 3,968.72 × 3,968.72
4. Step 4: Simplify right side
   2,602.41x = 15,750,728.52
5. Step 5: Solve for x
   x = 15,750,728.52/2,602.41
6. Step 6: Final answer
   x = 6,052.37