Finding the Third Proportional to 51,840 and 105,936

Step by Step Solution

1. Step 1: Write the proportion equation
   51,840 : 105,936 = 105,936 : x
2. Step 2: Convert to fraction form
   51,840/105,936 = 105,936/x
3. Step 3: Cross multiply
   51,840x = 105,936 × 105,936
4. Step 4: Simplify right side
   51,840x = 11,222,436,096
5. Step 5: Solve for x
   x = 11,222,436,096/51,840
6. Step 6: Final answer
   x = 216,482.18