Finding the Third Proportional to 36,075 and 49,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,075 : 49,144.50 = 49,144.50 : x
2. Step 2: Convert to fraction form
   36,075/49,144.50 = 49,144.50/x
3. Step 3: Cross multiply
   36,075x = 49,144.50 × 49,144.50
4. Step 4: Simplify right side
   36,075x = 2,415,181,880.25
5. Step 5: Solve for x
   x = 2,415,181,880.25/36,075
6. Step 6: Final answer
   x = 66,948.91