Finding the Third Proportional to 8,727.75 and 19,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,727.75 : 19,084.50 = 19,084.50 : x
2. Step 2: Convert to fraction form
   8,727.75/19,084.50 = 19,084.50/x
3. Step 3: Cross multiply
   8,727.75x = 19,084.50 × 19,084.50
4. Step 4: Simplify right side
   8,727.75x = 364,218,140.25
5. Step 5: Solve for x
   x = 364,218,140.25/8,727.75
6. Step 6: Final answer
   x = 41,731.05