Finding the Third Proportional to 7,822.69 and 16,292.81

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.69 : 16,292.81 = 16,292.81 : x
2. Step 2: Convert to fraction form
   7,822.69/16,292.81 = 16,292.81/x
3. Step 3: Cross multiply
   7,822.69x = 16,292.81 × 16,292.81
4. Step 4: Simplify right side
   7,822.69x = 265,455,739.16
5. Step 5: Solve for x
   x = 265,455,739.16/7,822.69
6. Step 6: Final answer
   x = 33,934.08