Finding the Third Proportional to 47,668 and 71,250

Step by Step Solution

1. Step 1: Write the proportion equation
   47,668 : 71,250 = 71,250 : x
2. Step 2: Convert to fraction form
   47,668/71,250 = 71,250/x
3. Step 3: Cross multiply
   47,668x = 71,250 × 71,250
4. Step 4: Simplify right side
   47,668x = 5,076,562,500
5. Step 5: Solve for x
   x = 5,076,562,500/47,668
6. Step 6: Final answer
   x = 106,498.33