Finding the Third Proportional to 1,928.81 and 3,166.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,928.81 : 3,166.59 = 3,166.59 : x
2. Step 2: Convert to fraction form
   1,928.81/3,166.59 = 3,166.59/x
3. Step 3: Cross multiply
   1,928.81x = 3,166.59 × 3,166.59
4. Step 4: Simplify right side
   1,928.81x = 10,027,315.98
5. Step 5: Solve for x
   x = 10,027,315.98/1,928.81
6. Step 6: Final answer
   x = 5,198.70