Finding the Third Proportional to 1,766.81 and 3,679.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.81 : 3,679.59 = 3,679.59 : x
2. Step 2: Convert to fraction form
   1,766.81/3,679.59 = 3,679.59/x
3. Step 3: Cross multiply
   1,766.81x = 3,679.59 × 3,679.59
4. Step 4: Simplify right side
   1,766.81x = 13,539,410.17
5. Step 5: Solve for x
   x = 13,539,410.17/1,766.81
6. Step 6: Final answer
   x = 7,663.18