Finding the Third Proportional to 31,218 and 47,871

Step by Step Solution

1. Step 1: Write the proportion equation
   31,218 : 47,871 = 47,871 : x
2. Step 2: Convert to fraction form
   31,218/47,871 = 47,871/x
3. Step 3: Cross multiply
   31,218x = 47,871 × 47,871
4. Step 4: Simplify right side
   31,218x = 2,291,632,641
5. Step 5: Solve for x
   x = 2,291,632,641/31,218
6. Step 6: Final answer
   x = 73,407.41