Finding the Third Proportional to 33,843 and 47,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,843 : 47,314.50 = 47,314.50 : x
2. Step 2: Convert to fraction form
   33,843/47,314.50 = 47,314.50/x
3. Step 3: Cross multiply
   33,843x = 47,314.50 × 47,314.50
4. Step 4: Simplify right side
   33,843x = 2,238,661,910.25
5. Step 5: Solve for x
   x = 2,238,661,910.25/33,843
6. Step 6: Final answer
   x = 66,148.45