Finding the Third Proportional to 7,783.50 and 12,243

Step by Step Solution

1. Step 1: Write the proportion equation
   7,783.50 : 12,243 = 12,243 : x
2. Step 2: Convert to fraction form
   7,783.50/12,243 = 12,243/x
3. Step 3: Cross multiply
   7,783.50x = 12,243 × 12,243
4. Step 4: Simplify right side
   7,783.50x = 149,891,049
5. Step 5: Solve for x
   x = 149,891,049/7,783.50
6. Step 6: Final answer
   x = 19,257.54