Finding the Third Proportional to 5,738 and 12,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,738 : 12,568.50 = 12,568.50 : x
2. Step 2: Convert to fraction form
   5,738/12,568.50 = 12,568.50/x
3. Step 3: Cross multiply
   5,738x = 12,568.50 × 12,568.50
4. Step 4: Simplify right side
   5,738x = 157,967,192.25
5. Step 5: Solve for x
   x = 157,967,192.25/5,738
6. Step 6: Final answer
   x = 27,530.01