Finding the Third Proportional to 2,188.81 and 3,323.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.81 : 3,323.75 = 3,323.75 : x
2. Step 2: Convert to fraction form
   2,188.81/3,323.75 = 3,323.75/x
3. Step 3: Cross multiply
   2,188.81x = 3,323.75 × 3,323.75
4. Step 4: Simplify right side
   2,188.81x = 11,047,314.06
5. Step 5: Solve for x
   x = 11,047,314.06/2,188.81
6. Step 6: Final answer
   x = 5,047.17