Finding the Third Proportional to 2,738.81 and 4,190.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.81 : 4,190.91 = 4,190.91 : x
2. Step 2: Convert to fraction form
   2,738.81/4,190.91 = 4,190.91/x
3. Step 3: Cross multiply
   2,738.81x = 4,190.91 × 4,190.91
4. Step 4: Simplify right side
   2,738.81x = 17,563,695.20
5. Step 5: Solve for x
   x = 17,563,695.20/2,738.81
6. Step 6: Final answer
   x = 6,412.89