Finding the Third Proportional to 31,978 and 47,972

Step by Step Solution

1. Step 1: Write the proportion equation
   31,978 : 47,972 = 47,972 : x
2. Step 2: Convert to fraction form
   31,978/47,972 = 47,972/x
3. Step 3: Cross multiply
   31,978x = 47,972 × 47,972
4. Step 4: Simplify right side
   31,978x = 2,301,312,784
5. Step 5: Solve for x
   x = 2,301,312,784/31,978
6. Step 6: Final answer
   x = 71,965.50