Finding the Third Proportional to 47,419 and 71,007

Step by Step Solution

1. Step 1: Write the proportion equation
   47,419 : 71,007 = 71,007 : x
2. Step 2: Convert to fraction form
   47,419/71,007 = 71,007/x
3. Step 3: Cross multiply
   47,419x = 71,007 × 71,007
4. Step 4: Simplify right side
   47,419x = 5,041,994,049
5. Step 5: Solve for x
   x = 5,041,994,049/47,419
6. Step 6: Final answer
   x = 106,328.56