Finding the Third Proportional to 34,282.50 and 51,789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,282.50 : 51,789.25 = 51,789.25 : x
2. Step 2: Convert to fraction form
   34,282.50/51,789.25 = 51,789.25/x
3. Step 3: Cross multiply
   34,282.50x = 51,789.25 × 51,789.25
4. Step 4: Simplify right side
   34,282.50x = 2,682,126,415.56
5. Step 5: Solve for x
   x = 2,682,126,415.56/34,282.50
6. Step 6: Final answer
   x = 78,236.02