Finding the Third Proportional to 10,205 and 22,042

Step by Step Solution

1. Step 1: Write the proportion equation
   10,205 : 22,042 = 22,042 : x
2. Step 2: Convert to fraction form
   10,205/22,042 = 22,042/x
3. Step 3: Cross multiply
   10,205x = 22,042 × 22,042
4. Step 4: Simplify right side
   10,205x = 485,849,764
5. Step 5: Solve for x
   x = 485,849,764/10,205
6. Step 6: Final answer
   x = 47,608.99