Finding the Third Proportional to 5,697.75 and 8,622.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,697.75 : 8,622.56 = 8,622.56 : x
2. Step 2: Convert to fraction form
   5,697.75/8,622.56 = 8,622.56/x
3. Step 3: Cross multiply
   5,697.75x = 8,622.56 × 8,622.56
4. Step 4: Simplify right side
   5,697.75x = 74,348,584.07
5. Step 5: Solve for x
   x = 74,348,584.07/5,697.75
6. Step 6: Final answer
   x = 13,048.76