Finding the Third Proportional to 22,626 and 34,524

Step by Step Solution

1. Step 1: Write the proportion equation
   22,626 : 34,524 = 34,524 : x
2. Step 2: Convert to fraction form
   22,626/34,524 = 34,524/x
3. Step 3: Cross multiply
   22,626x = 34,524 × 34,524
4. Step 4: Simplify right side
   22,626x = 1,191,906,576
5. Step 5: Solve for x
   x = 1,191,906,576/22,626
6. Step 6: Final answer
   x = 52,678.63