Finding the Third Proportional to 13,871.25 and 20,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,871.25 : 20,776.50 = 20,776.50 : x
2. Step 2: Convert to fraction form
   13,871.25/20,776.50 = 20,776.50/x
3. Step 3: Cross multiply
   13,871.25x = 20,776.50 × 20,776.50
4. Step 4: Simplify right side
   13,871.25x = 431,662,952.25
5. Step 5: Solve for x
   x = 431,662,952.25/13,871.25
6. Step 6: Final answer
   x = 31,119.25