Finding the Third Proportional to 33,867 and 52,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,867 : 52,336.50 = 52,336.50 : x
2. Step 2: Convert to fraction form
   33,867/52,336.50 = 52,336.50/x
3. Step 3: Cross multiply
   33,867x = 52,336.50 × 52,336.50
4. Step 4: Simplify right side
   33,867x = 2,739,109,232.25
5. Step 5: Solve for x
   x = 2,739,109,232.25/33,867
6. Step 6: Final answer
   x = 80,878.41