Finding the Third Proportional to 1,685.81 and 3,679.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,685.81 : 3,679.17 = 3,679.17 : x
2. Step 2: Convert to fraction form
   1,685.81/3,679.17 = 3,679.17/x
3. Step 3: Cross multiply
   1,685.81x = 3,679.17 × 3,679.17
4. Step 4: Simplify right side
   1,685.81x = 13,536,305.69
5. Step 5: Solve for x
   x = 13,536,305.69/1,685.81
6. Step 6: Final answer
   x = 8,029.54