Finding the Third Proportional to 22,035 and 31,578

Step by Step Solution

1. Step 1: Write the proportion equation
   22,035 : 31,578 = 31,578 : x
2. Step 2: Convert to fraction form
   22,035/31,578 = 31,578/x
3. Step 3: Cross multiply
   22,035x = 31,578 × 31,578
4. Step 4: Simplify right side
   22,035x = 997,170,084
5. Step 5: Solve for x
   x = 997,170,084/22,035
6. Step 6: Final answer
   x = 45,253.92