Finding the Third Proportional to 32,733 and 47,965.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,733 : 47,965.50 = 47,965.50 : x
2. Step 2: Convert to fraction form
   32,733/47,965.50 = 47,965.50/x
3. Step 3: Cross multiply
   32,733x = 47,965.50 × 47,965.50
4. Step 4: Simplify right side
   32,733x = 2,300,689,190.25
5. Step 5: Solve for x
   x = 2,300,689,190.25/32,733
6. Step 6: Final answer
   x = 70,286.54