Finding the Third Proportional to 22,622 and 34,180

Step by Step Solution

1. Step 1: Write the proportion equation
   22,622 : 34,180 = 34,180 : x
2. Step 2: Convert to fraction form
   22,622/34,180 = 34,180/x
3. Step 3: Cross multiply
   22,622x = 34,180 × 34,180
4. Step 4: Simplify right side
   22,622x = 1,168,272,400
5. Step 5: Solve for x
   x = 1,168,272,400/22,622
6. Step 6: Final answer
   x = 51,643.20