Finding the Third Proportional to 47,724 and 64,782

Step by Step Solution

1. Step 1: Write the proportion equation
   47,724 : 64,782 = 64,782 : x
2. Step 2: Convert to fraction form
   47,724/64,782 = 64,782/x
3. Step 3: Cross multiply
   47,724x = 64,782 × 64,782
4. Step 4: Simplify right side
   47,724x = 4,196,707,524
5. Step 5: Solve for x
   x = 4,196,707,524/47,724
6. Step 6: Final answer
   x = 87,937.04