Finding the Third Proportional to 7,781.06 and 10,369.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,781.06 : 10,369.69 = 10,369.69 : x
2. Step 2: Convert to fraction form
   7,781.06/10,369.69 = 10,369.69/x
3. Step 3: Cross multiply
   7,781.06x = 10,369.69 × 10,369.69
4. Step 4: Simplify right side
   7,781.06x = 107,530,418.85
5. Step 5: Solve for x
   x = 107,530,418.85/7,781.06
6. Step 6: Final answer
   x = 13,819.50