Finding the Third Proportional to 11,782.69 and 25,642.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782.69 : 25,642.69 = 25,642.69 : x
2. Step 2: Convert to fraction form
   11,782.69/25,642.69 = 25,642.69/x
3. Step 3: Cross multiply
   11,782.69x = 25,642.69 × 25,642.69
4. Step 4: Simplify right side
   11,782.69x = 657,547,422.22
5. Step 5: Solve for x
   x = 657,547,422.22/11,782.69
6. Step 6: Final answer
   x = 55,806.23