Finding the Third Proportional to 5,973.50 and 12,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,973.50 : 12,738.50 = 12,738.50 : x
2. Step 2: Convert to fraction form
   5,973.50/12,738.50 = 12,738.50/x
3. Step 3: Cross multiply
   5,973.50x = 12,738.50 × 12,738.50
4. Step 4: Simplify right side
   5,973.50x = 162,269,382.25
5. Step 5: Solve for x
   x = 162,269,382.25/5,973.50
6. Step 6: Final answer
   x = 27,164.88