Finding the Third Proportional to 11,142 and 23,205

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 23,205 = 23,205 : x
2. Step 2: Convert to fraction form
   11,142/23,205 = 23,205/x
3. Step 3: Cross multiply
   11,142x = 23,205 × 23,205
4. Step 4: Simplify right side
   11,142x = 538,472,025
5. Step 5: Solve for x
   x = 538,472,025/11,142
6. Step 6: Final answer
   x = 48,328.13