Finding the Third Proportional to 5,968.69 and 10,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,968.69 : 10,585.69 = 10,585.69 : x
2. Step 2: Convert to fraction form
   5,968.69/10,585.69 = 10,585.69/x
3. Step 3: Cross multiply
   5,968.69x = 10,585.69 × 10,585.69
4. Step 4: Simplify right side
   5,968.69x = 112,056,779.85
5. Step 5: Solve for x
   x = 112,056,779.85/5,968.69
6. Step 6: Final answer
   x = 18,774.11