Finding the Third Proportional to 33,854 and 73,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,854 : 73,357.50 = 73,357.50 : x
2. Step 2: Convert to fraction form
   33,854/73,357.50 = 73,357.50/x
3. Step 3: Cross multiply
   33,854x = 73,357.50 × 73,357.50
4. Step 4: Simplify right side
   33,854x = 5,381,322,806.25
5. Step 5: Solve for x
   x = 5,381,322,806.25/33,854
6. Step 6: Final answer
   x = 158,956.78