Finding the Third Proportional to 33,743 and 74,047

Step by Step Solution

1. Step 1: Write the proportion equation
   33,743 : 74,047 = 74,047 : x
2. Step 2: Convert to fraction form
   33,743/74,047 = 74,047/x
3. Step 3: Cross multiply
   33,743x = 74,047 × 74,047
4. Step 4: Simplify right side
   33,743x = 5,482,958,209
5. Step 5: Solve for x
   x = 5,482,958,209/33,743
6. Step 6: Final answer
   x = 162,491.72