Finding the Third Proportional to 5,838 and 10,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,838 : 10,744.50 = 10,744.50 : x
2. Step 2: Convert to fraction form
   5,838/10,744.50 = 10,744.50/x
3. Step 3: Cross multiply
   5,838x = 10,744.50 × 10,744.50
4. Step 4: Simplify right side
   5,838x = 115,444,280.25
5. Step 5: Solve for x
   x = 115,444,280.25/5,838
6. Step 6: Final answer
   x = 19,774.63