Finding the Third Proportional to 51,732 and 105,651

Step by Step Solution

1. Step 1: Write the proportion equation
   51,732 : 105,651 = 105,651 : x
2. Step 2: Convert to fraction form
   51,732/105,651 = 105,651/x
3. Step 3: Cross multiply
   51,732x = 105,651 × 105,651
4. Step 4: Simplify right side
   51,732x = 11,162,133,801
5. Step 5: Solve for x
   x = 11,162,133,801/51,732
6. Step 6: Final answer
   x = 215,768.46