Finding the Third Proportional to 31,842 and 47,979

Step by Step Solution

1. Step 1: Write the proportion equation
   31,842 : 47,979 = 47,979 : x
2. Step 2: Convert to fraction form
   31,842/47,979 = 47,979/x
3. Step 3: Cross multiply
   31,842x = 47,979 × 47,979
4. Step 4: Simplify right side
   31,842x = 2,301,984,441
5. Step 5: Solve for x
   x = 2,301,984,441/31,842
6. Step 6: Final answer
   x = 72,293.97