Finding the Third Proportional to 17,827.75 and 31,280.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,827.75 : 31,280.75 = 31,280.75 : x
2. Step 2: Convert to fraction form
   17,827.75/31,280.75 = 31,280.75/x
3. Step 3: Cross multiply
   17,827.75x = 31,280.75 × 31,280.75
4. Step 4: Simplify right side
   17,827.75x = 978,485,320.56
5. Step 5: Solve for x
   x = 978,485,320.56/17,827.75
6. Step 6: Final answer
   x = 54,885.52