Finding the Third Proportional to 11,845 and 25,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,845 : 25,778.50 = 25,778.50 : x
2. Step 2: Convert to fraction form
   11,845/25,778.50 = 25,778.50/x
3. Step 3: Cross multiply
   11,845x = 25,778.50 × 25,778.50
4. Step 4: Simplify right side
   11,845x = 664,531,062.25
5. Step 5: Solve for x
   x = 664,531,062.25/11,845
6. Step 6: Final answer
   x = 56,102.24