Finding the Third Proportional to 7,812.50 and 16,738.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,812.50 : 16,738.75 = 16,738.75 : x
2. Step 2: Convert to fraction form
   7,812.50/16,738.75 = 16,738.75/x
3. Step 3: Cross multiply
   7,812.50x = 16,738.75 × 16,738.75
4. Step 4: Simplify right side
   7,812.50x = 280,185,751.56
5. Step 5: Solve for x
   x = 280,185,751.56/7,812.50
6. Step 6: Final answer
   x = 35,863.78