Finding the Third Proportional to 33,120 and 49,554

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 49,554 = 49,554 : x
2. Step 2: Convert to fraction form
   33,120/49,554 = 49,554/x
3. Step 3: Cross multiply
   33,120x = 49,554 × 49,554
4. Step 4: Simplify right side
   33,120x = 2,455,598,916
5. Step 5: Solve for x
   x = 2,455,598,916/33,120
6. Step 6: Final answer
   x = 74,142.48