Finding the Third Proportional to 11,746 and 18,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,746 : 18,199.50 = 18,199.50 : x
2. Step 2: Convert to fraction form
   11,746/18,199.50 = 18,199.50/x
3. Step 3: Cross multiply
   11,746x = 18,199.50 × 18,199.50
4. Step 4: Simplify right side
   11,746x = 331,221,800.25
5. Step 5: Solve for x
   x = 331,221,800.25/11,746
6. Step 6: Final answer
   x = 28,198.69