Finding the Third Proportional to 47,940 and 71,910

Step by Step Solution

1. Step 1: Write the proportion equation
   47,940 : 71,910 = 71,910 : x
2. Step 2: Convert to fraction form
   47,940/71,910 = 71,910/x
3. Step 3: Cross multiply
   47,940x = 71,910 × 71,910
4. Step 4: Simplify right side
   47,940x = 5,171,048,100
5. Step 5: Solve for x
   x = 5,171,048,100/47,940
6. Step 6: Final answer
   x = 107,865