Finding the Third Proportional to 11,847 and 19,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,847 : 19,741.50 = 19,741.50 : x
2. Step 2: Convert to fraction form
   11,847/19,741.50 = 19,741.50/x
3. Step 3: Cross multiply
   11,847x = 19,741.50 × 19,741.50
4. Step 4: Simplify right side
   11,847x = 389,726,822.25
5. Step 5: Solve for x
   x = 389,726,822.25/11,847
6. Step 6: Final answer
   x = 32,896.67