Finding the Third Proportional to 9,288 and 12,343.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,288 : 12,343.50 = 12,343.50 : x
2. Step 2: Convert to fraction form
   9,288/12,343.50 = 12,343.50/x
3. Step 3: Cross multiply
   9,288x = 12,343.50 × 12,343.50
4. Step 4: Simplify right side
   9,288x = 152,361,992.25
5. Step 5: Solve for x
   x = 152,361,992.25/9,288
6. Step 6: Final answer
   x = 16,404.18