Finding the Third Proportional to 5,023.69 and 7,642.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,023.69 : 7,642.69 = 7,642.69 : x
2. Step 2: Convert to fraction form
   5,023.69/7,642.69 = 7,642.69/x
3. Step 3: Cross multiply
   5,023.69x = 7,642.69 × 7,642.69
4. Step 4: Simplify right side
   5,023.69x = 58,410,672.22
5. Step 5: Solve for x
   x = 58,410,672.22/5,023.69
6. Step 6: Final answer
   x = 11,627.05