Finding the Third Proportional to 22,296 and 35,856

Step by Step Solution

1. Step 1: Write the proportion equation
   22,296 : 35,856 = 35,856 : x
2. Step 2: Convert to fraction form
   22,296/35,856 = 35,856/x
3. Step 3: Cross multiply
   22,296x = 35,856 × 35,856
4. Step 4: Simplify right side
   22,296x = 1,285,652,736
5. Step 5: Solve for x
   x = 1,285,652,736/22,296
6. Step 6: Final answer
   x = 57,662.93