Finding the Third Proportional to 31,222 and 47,876

Step by Step Solution

1. Step 1: Write the proportion equation
   31,222 : 47,876 = 47,876 : x
2. Step 2: Convert to fraction form
   31,222/47,876 = 47,876/x
3. Step 3: Cross multiply
   31,222x = 47,876 × 47,876
4. Step 4: Simplify right side
   31,222x = 2,292,111,376
5. Step 5: Solve for x
   x = 2,292,111,376/31,222
6. Step 6: Final answer
   x = 73,413.34