Finding the Third Proportional to 27,172.50 and 36,563.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,172.50 : 36,563.25 = 36,563.25 : x
2. Step 2: Convert to fraction form
   27,172.50/36,563.25 = 36,563.25/x
3. Step 3: Cross multiply
   27,172.50x = 36,563.25 × 36,563.25
4. Step 4: Simplify right side
   27,172.50x = 1,336,871,250.56
5. Step 5: Solve for x
   x = 1,336,871,250.56/27,172.50
6. Step 6: Final answer
   x = 49,199.42