Finding the Third Proportional to 11,783.50 and 18,222

Step by Step Solution

1. Step 1: Write the proportion equation
   11,783.50 : 18,222 = 18,222 : x
2. Step 2: Convert to fraction form
   11,783.50/18,222 = 18,222/x
3. Step 3: Cross multiply
   11,783.50x = 18,222 × 18,222
4. Step 4: Simplify right side
   11,783.50x = 332,041,284
5. Step 5: Solve for x
   x = 332,041,284/11,783.50
6. Step 6: Final answer
   x = 28,178.49