Finding the Third Proportional to 36,769.50 and 51,986.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36,769.50 : 51,986.25 = 51,986.25 : x
2. Step 2: Convert to fraction form
   36,769.50/51,986.25 = 51,986.25/x
3. Step 3: Cross multiply
   36,769.50x = 51,986.25 × 51,986.25
4. Step 4: Simplify right side
   36,769.50x = 2,702,570,189.06
5. Step 5: Solve for x
   x = 2,702,570,189.06/36,769.50
6. Step 6: Final answer
   x = 73,500.32