Finding the Third Proportional to 11,779.59 and 25,636.78

Step by Step Solution

1. Step 1: Write the proportion equation
   11,779.59 : 25,636.78 = 25,636.78 : x
2. Step 2: Convert to fraction form
   11,779.59/25,636.78 = 25,636.78/x
3. Step 3: Cross multiply
   11,779.59x = 25,636.78 × 25,636.78
4. Step 4: Simplify right side
   11,779.59x = 657,244,552.86
5. Step 5: Solve for x
   x = 657,244,552.86/11,779.59
6. Step 6: Final answer
   x = 55,795.18