Finding the Third Proportional to 1,866.16 and 4,082.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,866.16 : 4,082.59 = 4,082.59 : x
2. Step 2: Convert to fraction form
   1,866.16/4,082.59 = 4,082.59/x
3. Step 3: Cross multiply
   1,866.16x = 4,082.59 × 4,082.59
4. Step 4: Simplify right side
   1,866.16x = 16,667,539.83
5. Step 5: Solve for x
   x = 16,667,539.83/1,866.16
6. Step 6: Final answer
   x = 8,931.44