Finding the Third Proportional to 47,628 and 71,019

Step by Step Solution

1. Step 1: Write the proportion equation
   47,628 : 71,019 = 71,019 : x
2. Step 2: Convert to fraction form
   47,628/71,019 = 71,019/x
3. Step 3: Cross multiply
   47,628x = 71,019 × 71,019
4. Step 4: Simplify right side
   47,628x = 5,043,698,361
5. Step 5: Solve for x
   x = 5,043,698,361/47,628
6. Step 6: Final answer
   x = 105,897.76