Finding the Third Proportional to 32,646 and 41,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,646 : 41,503.50 = 41,503.50 : x
2. Step 2: Convert to fraction form
   32,646/41,503.50 = 41,503.50/x
3. Step 3: Cross multiply
   32,646x = 41,503.50 × 41,503.50
4. Step 4: Simplify right side
   32,646x = 1,722,540,512.25
5. Step 5: Solve for x
   x = 1,722,540,512.25/32,646
6. Step 6: Final answer
   x = 52,764.21