Finding the Third Proportional to 3,797.16 and 5,111.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,797.16 : 5,111.72 = 5,111.72 : x
2. Step 2: Convert to fraction form
   3,797.16/5,111.72 = 5,111.72/x
3. Step 3: Cross multiply
   3,797.16x = 5,111.72 × 5,111.72
4. Step 4: Simplify right side
   3,797.16x = 26,129,668.58
5. Step 5: Solve for x
   x = 26,129,668.58/3,797.16
6. Step 6: Final answer
   x = 6,881.38