Finding the Third Proportional to 33,784 and 74,054

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784 : 74,054 = 74,054 : x
2. Step 2: Convert to fraction form
   33,784/74,054 = 74,054/x
3. Step 3: Cross multiply
   33,784x = 74,054 × 74,054
4. Step 4: Simplify right side
   33,784x = 5,483,994,916
5. Step 5: Solve for x
   x = 5,483,994,916/33,784
6. Step 6: Final answer
   x = 162,325.21