Finding the Third Proportional to 36,096 and 49,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,096 : 49,174.50 = 49,174.50 : x
2. Step 2: Convert to fraction form
   36,096/49,174.50 = 49,174.50/x
3. Step 3: Cross multiply
   36,096x = 49,174.50 × 49,174.50
4. Step 4: Simplify right side
   36,096x = 2,418,131,450.25
5. Step 5: Solve for x
   x = 2,418,131,450.25/36,096
6. Step 6: Final answer
   x = 66,991.67