Finding the Third Proportional to 33,974 and 51,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,974 : 51,474.50 = 51,474.50 : x
2. Step 2: Convert to fraction form
   33,974/51,474.50 = 51,474.50/x
3. Step 3: Cross multiply
   33,974x = 51,474.50 × 51,474.50
4. Step 4: Simplify right side
   33,974x = 2,649,624,150.25
5. Step 5: Solve for x
   x = 2,649,624,150.25/33,974
6. Step 6: Final answer
   x = 77,989.76