Finding the Third Proportional to 11,847 and 17,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,847 : 17,338.50 = 17,338.50 : x
2. Step 2: Convert to fraction form
   11,847/17,338.50 = 17,338.50/x
3. Step 3: Cross multiply
   11,847x = 17,338.50 × 17,338.50
4. Step 4: Simplify right side
   11,847x = 300,623,582.25
5. Step 5: Solve for x
   x = 300,623,582.25/11,847
6. Step 6: Final answer
   x = 25,375.50