Finding the Third Proportional to 10,542 and 23,205

Step by Step Solution

1. Step 1: Write the proportion equation
   10,542 : 23,205 = 23,205 : x
2. Step 2: Convert to fraction form
   10,542/23,205 = 23,205/x
3. Step 3: Cross multiply
   10,542x = 23,205 × 23,205
4. Step 4: Simplify right side
   10,542x = 538,472,025
5. Step 5: Solve for x
   x = 538,472,025/10,542
6. Step 6: Final answer
   x = 51,078.74