Finding the Third Proportional to 34,321.50 and 51,180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,321.50 : 51,180.75 = 51,180.75 : x
2. Step 2: Convert to fraction form
   34,321.50/51,180.75 = 51,180.75/x
3. Step 3: Cross multiply
   34,321.50x = 51,180.75 × 51,180.75
4. Step 4: Simplify right side
   34,321.50x = 2,619,469,170.56
5. Step 5: Solve for x
   x = 2,619,469,170.56/34,321.50
6. Step 6: Final answer
   x = 76,321.52