Finding the Third Proportional to 47,424 and 71,013

Step by Step Solution

1. Step 1: Write the proportion equation
   47,424 : 71,013 = 71,013 : x
2. Step 2: Convert to fraction form
   47,424/71,013 = 71,013/x
3. Step 3: Cross multiply
   47,424x = 71,013 × 71,013
4. Step 4: Simplify right side
   47,424x = 5,042,846,169
5. Step 5: Solve for x
   x = 5,042,846,169/47,424
6. Step 6: Final answer
   x = 106,335.32