Finding the Third Proportional to 33,096 and 48,996

Step by Step Solution

1. Step 1: Write the proportion equation
   33,096 : 48,996 = 48,996 : x
2. Step 2: Convert to fraction form
   33,096/48,996 = 48,996/x
3. Step 3: Cross multiply
   33,096x = 48,996 × 48,996
4. Step 4: Simplify right side
   33,096x = 2,400,608,016
5. Step 5: Solve for x
   x = 2,400,608,016/33,096
6. Step 6: Final answer
   x = 72,534.69