Finding the Third Proportional to 2,937.09 and 4,200.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,937.09 : 4,200.61 = 4,200.61 : x
2. Step 2: Convert to fraction form
   2,937.09/4,200.61 = 4,200.61/x
3. Step 3: Cross multiply
   2,937.09x = 4,200.61 × 4,200.61
4. Step 4: Simplify right side
   2,937.09x = 17,645,119.12
5. Step 5: Solve for x
   x = 17,645,119.12/2,937.09
6. Step 6: Final answer
   x = 6,007.68