Finding the Third Proportional to 8,237 and 12,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,237 : 12,333.50 = 12,333.50 : x
2. Step 2: Convert to fraction form
   8,237/12,333.50 = 12,333.50/x
3. Step 3: Cross multiply
   8,237x = 12,333.50 × 12,333.50
4. Step 4: Simplify right side
   8,237x = 152,115,222.25
5. Step 5: Solve for x
   x = 152,115,222.25/8,237
6. Step 6: Final answer
   x = 18,467.31