Finding the Third Proportional to 33,743.50 and 73,842.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,743.50 : 73,842.38 = 73,842.38 : x
2. Step 2: Convert to fraction form
   33,743.50/73,842.38 = 73,842.38/x
3. Step 3: Cross multiply
   33,743.50x = 73,842.38 × 73,842.38
4. Step 4: Simplify right side
   33,743.50x = 5,452,696,345.64
5. Step 5: Solve for x
   x = 5,452,696,345.64/33,743.50
6. Step 6: Final answer
   x = 161,592.49