Finding the Third Proportional to 3,284.50 and 5,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,284.50 : 5,088.50 = 5,088.50 : x
2. Step 2: Convert to fraction form
   3,284.50/5,088.50 = 5,088.50/x
3. Step 3: Cross multiply
   3,284.50x = 5,088.50 × 5,088.50
4. Step 4: Simplify right side
   3,284.50x = 25,892,832.25
5. Step 5: Solve for x
   x = 25,892,832.25/3,284.50
6. Step 6: Final answer
   x = 7,883.34