Finding the Third Proportional to 2,088 and 4,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,088 : 4,540.50 = 4,540.50 : x
2. Step 2: Convert to fraction form
   2,088/4,540.50 = 4,540.50/x
3. Step 3: Cross multiply
   2,088x = 4,540.50 × 4,540.50
4. Step 4: Simplify right side
   2,088x = 20,616,140.25
5. Step 5: Solve for x
   x = 20,616,140.25/2,088
6. Step 6: Final answer
   x = 9,873.63