Finding the Third Proportional to 10,864 and 22,372

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 22,372 = 22,372 : x
2. Step 2: Convert to fraction form
   10,864/22,372 = 22,372/x
3. Step 3: Cross multiply
   10,864x = 22,372 × 22,372
4. Step 4: Simplify right side
   10,864x = 500,506,384
5. Step 5: Solve for x
   x = 500,506,384/10,864
6. Step 6: Final answer
   x = 46,070.18