Finding the Third Proportional to 2,188.50 and 3,350.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.50 : 3,350.25 = 3,350.25 : x
2. Step 2: Convert to fraction form
   2,188.50/3,350.25 = 3,350.25/x
3. Step 3: Cross multiply
   2,188.50x = 3,350.25 × 3,350.25
4. Step 4: Simplify right side
   2,188.50x = 11,224,175.06
5. Step 5: Solve for x
   x = 11,224,175.06/2,188.50
6. Step 6: Final answer
   x = 5,128.71