Finding the Third Proportional to 33,040 and 47,099

Step by Step Solution

1. Step 1: Write the proportion equation
   33,040 : 47,099 = 47,099 : x
2. Step 2: Convert to fraction form
   33,040/47,099 = 47,099/x
3. Step 3: Cross multiply
   33,040x = 47,099 × 47,099
4. Step 4: Simplify right side
   33,040x = 2,218,315,801
5. Step 5: Solve for x
   x = 2,218,315,801/33,040
6. Step 6: Final answer
   x = 67,140.31