Finding the Third Proportional to 7,642.69 and 10,855.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,642.69 : 10,855.69 = 10,855.69 : x
2. Step 2: Convert to fraction form
   7,642.69/10,855.69 = 10,855.69/x
3. Step 3: Cross multiply
   7,642.69x = 10,855.69 × 10,855.69
4. Step 4: Simplify right side
   7,642.69x = 117,845,951.10
5. Step 5: Solve for x
   x = 117,845,951.10/7,642.69
6. Step 6: Final answer
   x = 15,419.44