Finding the Third Proportional to 27,414 and 37,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,414 : 37,147.50 = 37,147.50 : x
2. Step 2: Convert to fraction form
   27,414/37,147.50 = 37,147.50/x
3. Step 3: Cross multiply
   27,414x = 37,147.50 × 37,147.50
4. Step 4: Simplify right side
   27,414x = 1,379,936,756.25
5. Step 5: Solve for x
   x = 1,379,936,756.25/27,414
6. Step 6: Final answer
   x = 50,336.94