Finding the Third Proportional to 11,779.50 and 25,605.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,779.50 : 25,605.38 = 25,605.38 : x
2. Step 2: Convert to fraction form
   11,779.50/25,605.38 = 25,605.38/x
3. Step 3: Cross multiply
   11,779.50x = 25,605.38 × 25,605.38
4. Step 4: Simplify right side
   11,779.50x = 655,635,228.89
5. Step 5: Solve for x
   x = 655,635,228.89/11,779.50
6. Step 6: Final answer
   x = 55,659.00