Finding the Third Proportional to 2,551.50 and 5,928.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.50 : 5,928.19 = 5,928.19 : x
2. Step 2: Convert to fraction form
   2,551.50/5,928.19 = 5,928.19/x
3. Step 3: Cross multiply
   2,551.50x = 5,928.19 × 5,928.19
4. Step 4: Simplify right side
   2,551.50x = 35,143,407.04
5. Step 5: Solve for x
   x = 35,143,407.04/2,551.50
6. Step 6: Final answer
   x = 13,773.63