Finding the Third Proportional to 27,177.75 and 36,571.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,177.75 : 36,571.50 = 36,571.50 : x
2. Step 2: Convert to fraction form
   27,177.75/36,571.50 = 36,571.50/x
3. Step 3: Cross multiply
   27,177.75x = 36,571.50 × 36,571.50
4. Step 4: Simplify right side
   27,177.75x = 1,337,474,612.25
5. Step 5: Solve for x
   x = 1,337,474,612.25/27,177.75
6. Step 6: Final answer
   x = 49,212.12