Finding the Third Proportional to 1,138.78 and 2,464.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,138.78 : 2,464.03 = 2,464.03 : x
2. Step 2: Convert to fraction form
   1,138.78/2,464.03 = 2,464.03/x
3. Step 3: Cross multiply
   1,138.78x = 2,464.03 × 2,464.03
4. Step 4: Simplify right side
   1,138.78x = 6,071,450.00
5. Step 5: Solve for x
   x = 6,071,450.00/1,138.78
6. Step 6: Final answer
   x = 5,331.53