Finding the Third Proportional to 47,871 and 101,574

Step by Step Solution

1. Step 1: Write the proportion equation
   47,871 : 101,574 = 101,574 : x
2. Step 2: Convert to fraction form
   47,871/101,574 = 101,574/x
3. Step 3: Cross multiply
   47,871x = 101,574 × 101,574
4. Step 4: Simplify right side
   47,871x = 10,317,277,476
5. Step 5: Solve for x
   x = 10,317,277,476/47,871
6. Step 6: Final answer
   x = 215,522.50