Finding the Third Proportional to 7,102.69 and 13,582.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,102.69 : 13,582.69 = 13,582.69 : x
2. Step 2: Convert to fraction form
   7,102.69/13,582.69 = 13,582.69/x
3. Step 3: Cross multiply
   7,102.69x = 13,582.69 × 13,582.69
4. Step 4: Simplify right side
   7,102.69x = 184,489,399.72
5. Step 5: Solve for x
   x = 184,489,399.72/7,102.69
6. Step 6: Final answer
   x = 25,974.59