Finding the Third Proportional to 31,180 and 47,548.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,180 : 47,548.25 = 47,548.25 : x
2. Step 2: Convert to fraction form
   31,180/47,548.25 = 47,548.25/x
3. Step 3: Cross multiply
   31,180x = 47,548.25 × 47,548.25
4. Step 4: Simplify right side
   31,180x = 2,260,836,078.06
5. Step 5: Solve for x
   x = 2,260,836,078.06/31,180
6. Step 6: Final answer
   x = 72,509.18