Finding the Third Proportional to 11,727 and 18,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,727 : 18,568.50 = 18,568.50 : x
2. Step 2: Convert to fraction form
   11,727/18,568.50 = 18,568.50/x
3. Step 3: Cross multiply
   11,727x = 18,568.50 × 18,568.50
4. Step 4: Simplify right side
   11,727x = 344,789,192.25
5. Step 5: Solve for x
   x = 344,789,192.25/11,727
6. Step 6: Final answer
   x = 29,401.31