Finding the Third Proportional to 10,864 and 22,376

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864 : 22,376 = 22,376 : x
2. Step 2: Convert to fraction form
   10,864/22,376 = 22,376/x
3. Step 3: Cross multiply
   10,864x = 22,376 × 22,376
4. Step 4: Simplify right side
   10,864x = 500,685,376
5. Step 5: Solve for x
   x = 500,685,376/10,864
6. Step 6: Final answer
   x = 46,086.65