Finding the Third Proportional to 5,771.25 and 7,834.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,771.25 : 7,834.22 = 7,834.22 : x
2. Step 2: Convert to fraction form
   5,771.25/7,834.22 = 7,834.22/x
3. Step 3: Cross multiply
   5,771.25x = 7,834.22 × 7,834.22
4. Step 4: Simplify right side
   5,771.25x = 61,374,983.42
5. Step 5: Solve for x
   x = 61,374,983.42/5,771.25
6. Step 6: Final answer
   x = 10,634.61