Finding the Third Proportional to 33,927 and 51,466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,927 : 51,466.50 = 51,466.50 : x
2. Step 2: Convert to fraction form
   33,927/51,466.50 = 51,466.50/x
3. Step 3: Cross multiply
   33,927x = 51,466.50 × 51,466.50
4. Step 4: Simplify right side
   33,927x = 2,648,800,622.25
5. Step 5: Solve for x
   x = 2,648,800,622.25/33,927
6. Step 6: Final answer
   x = 78,073.53