Finding the Third Proportional to 22,296 and 47,856

Step by Step Solution

1. Step 1: Write the proportion equation
   22,296 : 47,856 = 47,856 : x
2. Step 2: Convert to fraction form
   22,296/47,856 = 47,856/x
3. Step 3: Cross multiply
   22,296x = 47,856 × 47,856
4. Step 4: Simplify right side
   22,296x = 2,290,196,736
5. Step 5: Solve for x
   x = 2,290,196,736/22,296
6. Step 6: Final answer
   x = 102,717.83