Finding the Third Proportional to 2,686.88 and 4,151.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.88 : 4,151.81 = 4,151.81 : x
2. Step 2: Convert to fraction form
   2,686.88/4,151.81 = 4,151.81/x
3. Step 3: Cross multiply
   2,686.88x = 4,151.81 × 4,151.81
4. Step 4: Simplify right side
   2,686.88x = 17,237,547.04
5. Step 5: Solve for x
   x = 17,237,547.04/2,686.88
6. Step 6: Final answer
   x = 6,415.46