Finding the Third Proportional to 1,138 and 2,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,138 : 2,398.50 = 2,398.50 : x
2. Step 2: Convert to fraction form
   1,138/2,398.50 = 2,398.50/x
3. Step 3: Cross multiply
   1,138x = 2,398.50 × 2,398.50
4. Step 4: Simplify right side
   1,138x = 5,752,802.25
5. Step 5: Solve for x
   x = 5,752,802.25/1,138
6. Step 6: Final answer
   x = 5,055.19