Finding the Third Proportional to 32,850 and 68,033.25

Step by Step Solution

1. Step 1: Write the proportion equation
   32,850 : 68,033.25 = 68,033.25 : x
2. Step 2: Convert to fraction form
   32,850/68,033.25 = 68,033.25/x
3. Step 3: Cross multiply
   32,850x = 68,033.25 × 68,033.25
4. Step 4: Simplify right side
   32,850x = 4,628,523,105.56
5. Step 5: Solve for x
   x = 4,628,523,105.56/32,850
6. Step 6: Final answer
   x = 140,898.72