Finding the Third Proportional to 31,104 and 47,580

Step by Step Solution

1. Step 1: Write the proportion equation
   31,104 : 47,580 = 47,580 : x
2. Step 2: Convert to fraction form
   31,104/47,580 = 47,580/x
3. Step 3: Cross multiply
   31,104x = 47,580 × 47,580
4. Step 4: Simplify right side
   31,104x = 2,263,856,400
5. Step 5: Solve for x
   x = 2,263,856,400/31,104
6. Step 6: Final answer
   x = 72,783.45