Finding the Third Proportional to 11,779.88 and 25,634.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,779.88 : 25,634.25 = 25,634.25 : x
2. Step 2: Convert to fraction form
   11,779.88/25,634.25 = 25,634.25/x
3. Step 3: Cross multiply
   11,779.88x = 25,634.25 × 25,634.25
4. Step 4: Simplify right side
   11,779.88x = 657,114,773.06
5. Step 5: Solve for x
   x = 657,114,773.06/11,779.88
6. Step 6: Final answer
   x = 55,782.83