Finding the Third Proportional to 2,607.75 and 4,042.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,607.75 : 4,042.69 = 4,042.69 : x
2. Step 2: Convert to fraction form
   2,607.75/4,042.69 = 4,042.69/x
3. Step 3: Cross multiply
   2,607.75x = 4,042.69 × 4,042.69
4. Step 4: Simplify right side
   2,607.75x = 16,343,322.22
5. Step 5: Solve for x
   x = 16,343,322.22/2,607.75
6. Step 6: Final answer
   x = 6,267.21