Finding the Third Proportional to 22,864 and 35,633

Step by Step Solution

1. Step 1: Write the proportion equation
   22,864 : 35,633 = 35,633 : x
2. Step 2: Convert to fraction form
   22,864/35,633 = 35,633/x
3. Step 3: Cross multiply
   22,864x = 35,633 × 35,633
4. Step 4: Simplify right side
   22,864x = 1,269,710,689
5. Step 5: Solve for x
   x = 1,269,710,689/22,864
6. Step 6: Final answer
   x = 55,533.18