Finding the Third Proportional to 11,443 and 17,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,443 : 17,734.50 = 17,734.50 : x
2. Step 2: Convert to fraction form
   11,443/17,734.50 = 17,734.50/x
3. Step 3: Cross multiply
   11,443x = 17,734.50 × 17,734.50
4. Step 4: Simplify right side
   11,443x = 314,512,490.25
5. Step 5: Solve for x
   x = 314,512,490.25/11,443
6. Step 6: Final answer
   x = 27,485.14