Finding the Third Proportional to 11,846 and 25,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,846 : 25,780.50 = 25,780.50 : x
2. Step 2: Convert to fraction form
   11,846/25,780.50 = 25,780.50/x
3. Step 3: Cross multiply
   11,846x = 25,780.50 × 25,780.50
4. Step 4: Simplify right side
   11,846x = 664,634,180.25
5. Step 5: Solve for x
   x = 664,634,180.25/11,846
6. Step 6: Final answer
   x = 56,106.21