Finding the Third Proportional to 32,733 and 52,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,733 : 52,294.50 = 52,294.50 : x
2. Step 2: Convert to fraction form
   32,733/52,294.50 = 52,294.50/x
3. Step 3: Cross multiply
   32,733x = 52,294.50 × 52,294.50
4. Step 4: Simplify right side
   32,733x = 2,734,714,730.25
5. Step 5: Solve for x
   x = 2,734,714,730.25/32,733
6. Step 6: Final answer
   x = 83,546.11