Finding the Third Proportional to 1,681.17 and 3,906.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,681.17 : 3,906.77 = 3,906.77 : x
2. Step 2: Convert to fraction form
   1,681.17/3,906.77 = 3,906.77/x
3. Step 3: Cross multiply
   1,681.17x = 3,906.77 × 3,906.77
4. Step 4: Simplify right side
   1,681.17x = 15,262,878.69
5. Step 5: Solve for x
   x = 15,262,878.69/1,681.17
6. Step 6: Final answer
   x = 9,078.71