Finding the Third Proportional to 10,834 and 22,518

Step by Step Solution

1. Step 1: Write the proportion equation
   10,834 : 22,518 = 22,518 : x
2. Step 2: Convert to fraction form
   10,834/22,518 = 22,518/x
3. Step 3: Cross multiply
   10,834x = 22,518 × 22,518
4. Step 4: Simplify right side
   10,834x = 507,060,324
5. Step 5: Solve for x
   x = 507,060,324/10,834
6. Step 6: Final answer
   x = 46,802.69