Finding the Third Proportional to 31,142 and 47,628

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142 : 47,628 = 47,628 : x
2. Step 2: Convert to fraction form
   31,142/47,628 = 47,628/x
3. Step 3: Cross multiply
   31,142x = 47,628 × 47,628
4. Step 4: Simplify right side
   31,142x = 2,268,426,384
5. Step 5: Solve for x
   x = 2,268,426,384/31,142
6. Step 6: Final answer
   x = 72,841.38