Finding the Third Proportional to 33,581.25 and 74,148.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,581.25 : 74,148.75 = 74,148.75 : x
2. Step 2: Convert to fraction form
   33,581.25/74,148.75 = 74,148.75/x
3. Step 3: Cross multiply
   33,581.25x = 74,148.75 × 74,148.75
4. Step 4: Simplify right side
   33,581.25x = 5,498,037,126.56
5. Step 5: Solve for x
   x = 5,498,037,126.56/33,581.25
6. Step 6: Final answer
   x = 163,723.42