Finding the Third Proportional to 2,088.50 and 3,238.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,088.50 : 3,238.25 = 3,238.25 : x
2. Step 2: Convert to fraction form
   2,088.50/3,238.25 = 3,238.25/x
3. Step 3: Cross multiply
   2,088.50x = 3,238.25 × 3,238.25
4. Step 4: Simplify right side
   2,088.50x = 10,486,263.06
5. Step 5: Solve for x
   x = 10,486,263.06/2,088.50
6. Step 6: Final answer
   x = 5,020.95