Finding the Third Proportional to 8,842.50 and 13,727.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,842.50 : 13,727.25 = 13,727.25 : x
2. Step 2: Convert to fraction form
   8,842.50/13,727.25 = 13,727.25/x
3. Step 3: Cross multiply
   8,842.50x = 13,727.25 × 13,727.25
4. Step 4: Simplify right side
   8,842.50x = 188,437,392.56
5. Step 5: Solve for x
   x = 188,437,392.56/8,842.50
6. Step 6: Final answer
   x = 21,310.42