Finding the Third Proportional to 47,681 and 71,500

Step by Step Solution

1. Step 1: Write the proportion equation
   47,681 : 71,500 = 71,500 : x
2. Step 2: Convert to fraction form
   47,681/71,500 = 71,500/x
3. Step 3: Cross multiply
   47,681x = 71,500 × 71,500
4. Step 4: Simplify right side
   47,681x = 5,112,250,000
5. Step 5: Solve for x
   x = 5,112,250,000/47,681
6. Step 6: Final answer
   x = 107,217.76