Finding the Third Proportional to 50,827.50 and 57,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,827.50 : 57,739.50 = 57,739.50 : x
2. Step 2: Convert to fraction form
   50,827.50/57,739.50 = 57,739.50/x
3. Step 3: Cross multiply
   50,827.50x = 57,739.50 × 57,739.50
4. Step 4: Simplify right side
   50,827.50x = 3,333,849,860.25
5. Step 5: Solve for x
   x = 3,333,849,860.25/50,827.50
6. Step 6: Final answer
   x = 65,591.46