Finding the Third Proportional to 32,733 and 71,298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32,733 : 71,298.75 = 71,298.75 : x
2. Step 2: Convert to fraction form
   32,733/71,298.75 = 71,298.75/x
3. Step 3: Cross multiply
   32,733x = 71,298.75 × 71,298.75
4. Step 4: Simplify right side
   32,733x = 5,083,511,751.56
5. Step 5: Solve for x
   x = 5,083,511,751.56/32,733
6. Step 6: Final answer
   x = 155,302.35