Finding the Third Proportional to 33,924 and 74,736

Step by Step Solution

1. Step 1: Write the proportion equation
   33,924 : 74,736 = 74,736 : x
2. Step 2: Convert to fraction form
   33,924/74,736 = 74,736/x
3. Step 3: Cross multiply
   33,924x = 74,736 × 74,736
4. Step 4: Simplify right side
   33,924x = 5,585,469,696
5. Step 5: Solve for x
   x = 5,585,469,696/33,924
6. Step 6: Final answer
   x = 164,646.55