Finding the Third Proportional to 2,468.50 and 5,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,468.50 : 5,288.50 = 5,288.50 : x
2. Step 2: Convert to fraction form
   2,468.50/5,288.50 = 5,288.50/x
3. Step 3: Cross multiply
   2,468.50x = 5,288.50 × 5,288.50
4. Step 4: Simplify right side
   2,468.50x = 27,968,232.25
5. Step 5: Solve for x
   x = 27,968,232.25/2,468.50
6. Step 6: Final answer
   x = 11,330.05