Finding the Third Proportional to 33,745 and 74,051

Step by Step Solution

1. Step 1: Write the proportion equation
   33,745 : 74,051 = 74,051 : x
2. Step 2: Convert to fraction form
   33,745/74,051 = 74,051/x
3. Step 3: Cross multiply
   33,745x = 74,051 × 74,051
4. Step 4: Simplify right side
   33,745x = 5,483,550,601
5. Step 5: Solve for x
   x = 5,483,550,601/33,745
6. Step 6: Final answer
   x = 162,499.65