Finding the Third Proportional to 10,592 and 20,222

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 20,222 = 20,222 : x
2. Step 2: Convert to fraction form
   10,592/20,222 = 20,222/x
3. Step 3: Cross multiply
   10,592x = 20,222 × 20,222
4. Step 4: Simplify right side
   10,592x = 408,929,284
5. Step 5: Solve for x
   x = 408,929,284/10,592
6. Step 6: Final answer
   x = 38,607.37