Finding the Third Proportional to 6,112.50 and 11,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,112.50 : 11,738.50 = 11,738.50 : x
2. Step 2: Convert to fraction form
   6,112.50/11,738.50 = 11,738.50/x
3. Step 3: Cross multiply
   6,112.50x = 11,738.50 × 11,738.50
4. Step 4: Simplify right side
   6,112.50x = 137,792,382.25
5. Step 5: Solve for x
   x = 137,792,382.25/6,112.50
6. Step 6: Final answer
   x = 22,542.72