Finding the Third Proportional to 33,885 and 51,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,885 : 51,529.50 = 51,529.50 : x
2. Step 2: Convert to fraction form
   33,885/51,529.50 = 51,529.50/x
3. Step 3: Cross multiply
   33,885x = 51,529.50 × 51,529.50
4. Step 4: Simplify right side
   33,885x = 2,655,289,370.25
5. Step 5: Solve for x
   x = 2,655,289,370.25/33,885
6. Step 6: Final answer
   x = 78,361.79