Finding the Third Proportional to 11,796.50 and 25,780.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,796.50 : 25,780.75 = 25,780.75 : x
2. Step 2: Convert to fraction form
   11,796.50/25,780.75 = 25,780.75/x
3. Step 3: Cross multiply
   11,796.50x = 25,780.75 × 25,780.75
4. Step 4: Simplify right side
   11,796.50x = 664,647,070.56
5. Step 5: Solve for x
   x = 664,647,070.56/11,796.50
6. Step 6: Final answer
   x = 56,342.73