Finding the Third Proportional to 20,122 and 21,580

Step by Step Solution

1. Step 1: Write the proportion equation
   20,122 : 21,580 = 21,580 : x
2. Step 2: Convert to fraction form
   20,122/21,580 = 21,580/x
3. Step 3: Cross multiply
   20,122x = 21,580 × 21,580
4. Step 4: Simplify right side
   20,122x = 465,696,400
5. Step 5: Solve for x
   x = 465,696,400/20,122
6. Step 6: Final answer
   x = 23,143.64