Finding the Third Proportional to 2,422 and 5,289.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,422 : 5,289.50 = 5,289.50 : x
2. Step 2: Convert to fraction form
   2,422/5,289.50 = 5,289.50/x
3. Step 3: Cross multiply
   2,422x = 5,289.50 × 5,289.50
4. Step 4: Simplify right side
   2,422x = 27,978,810.25
5. Step 5: Solve for x
   x = 27,978,810.25/2,422
6. Step 6: Final answer
   x = 11,551.94