Finding the Third Proportional to 47,756 and 71,697

Step by Step Solution

1. Step 1: Write the proportion equation
   47,756 : 71,697 = 71,697 : x
2. Step 2: Convert to fraction form
   47,756/71,697 = 71,697/x
3. Step 3: Cross multiply
   47,756x = 71,697 × 71,697
4. Step 4: Simplify right side
   47,756x = 5,140,459,809
5. Step 5: Solve for x
   x = 5,140,459,809/47,756
6. Step 6: Final answer
   x = 107,640.08