Finding the Third Proportional to 7,822.50 and 16,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.50 : 16,738.50 = 16,738.50 : x
2. Step 2: Convert to fraction form
   7,822.50/16,738.50 = 16,738.50/x
3. Step 3: Cross multiply
   7,822.50x = 16,738.50 × 16,738.50
4. Step 4: Simplify right side
   7,822.50x = 280,177,382.25
5. Step 5: Solve for x
   x = 280,177,382.25/7,822.50
6. Step 6: Final answer
   x = 35,816.86