Finding the Third Proportional to 33,120 and 44,406

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 44,406 = 44,406 : x
2. Step 2: Convert to fraction form
   33,120/44,406 = 44,406/x
3. Step 3: Cross multiply
   33,120x = 44,406 × 44,406
4. Step 4: Simplify right side
   33,120x = 1,971,892,836
5. Step 5: Solve for x
   x = 1,971,892,836/33,120
6. Step 6: Final answer
   x = 59,537.83