Finding the Third Proportional to 32,863.50 and 50,841

Step by Step Solution

1. Step 1: Write the proportion equation
   32,863.50 : 50,841 = 50,841 : x
2. Step 2: Convert to fraction form
   32,863.50/50,841 = 50,841/x
3. Step 3: Cross multiply
   32,863.50x = 50,841 × 50,841
4. Step 4: Simplify right side
   32,863.50x = 2,584,807,281
5. Step 5: Solve for x
   x = 2,584,807,281/32,863.50
6. Step 6: Final answer
   x = 78,652.83