Finding the Third Proportional to 11,738 and 18,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738 : 18,446.50 = 18,446.50 : x
2. Step 2: Convert to fraction form
   11,738/18,446.50 = 18,446.50/x
3. Step 3: Cross multiply
   11,738x = 18,446.50 × 18,446.50
4. Step 4: Simplify right side
   11,738x = 340,273,362.25
5. Step 5: Solve for x
   x = 340,273,362.25/11,738
6. Step 6: Final answer
   x = 28,989.04