Finding the Third Proportional to 16,197 and 24,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,197 : 24,211.50 = 24,211.50 : x
2. Step 2: Convert to fraction form
   16,197/24,211.50 = 24,211.50/x
3. Step 3: Cross multiply
   16,197x = 24,211.50 × 24,211.50
4. Step 4: Simplify right side
   16,197x = 586,196,732.25
5. Step 5: Solve for x
   x = 586,196,732.25/16,197
6. Step 6: Final answer
   x = 36,191.69