Finding the Third Proportional to 33,381 and 51,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,381 : 51,669.50 = 51,669.50 : x
2. Step 2: Convert to fraction form
   33,381/51,669.50 = 51,669.50/x
3. Step 3: Cross multiply
   33,381x = 51,669.50 × 51,669.50
4. Step 4: Simplify right side
   33,381x = 2,669,737,230.25
5. Step 5: Solve for x
   x = 2,669,737,230.25/33,381
6. Step 6: Final answer
   x = 79,977.75