Finding the Third Proportional to 7,750.69 and 16,822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,750.69 : 16,822.69 = 16,822.69 : x
2. Step 2: Convert to fraction form
   7,750.69/16,822.69 = 16,822.69/x
3. Step 3: Cross multiply
   7,750.69x = 16,822.69 × 16,822.69
4. Step 4: Simplify right side
   7,750.69x = 283,002,814.72
5. Step 5: Solve for x
   x = 283,002,814.72/7,750.69
6. Step 6: Final answer
   x = 36,513.25