Finding the Third Proportional to 33,894 and 49,620

Step by Step Solution

1. Step 1: Write the proportion equation
   33,894 : 49,620 = 49,620 : x
2. Step 2: Convert to fraction form
   33,894/49,620 = 49,620/x
3. Step 3: Cross multiply
   33,894x = 49,620 × 49,620
4. Step 4: Simplify right side
   33,894x = 2,462,144,400
5. Step 5: Solve for x
   x = 2,462,144,400/33,894
6. Step 6: Final answer
   x = 72,642.49