Finding the Third Proportional to 10,494 and 23,061

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494 : 23,061 = 23,061 : x
2. Step 2: Convert to fraction form
   10,494/23,061 = 23,061/x
3. Step 3: Cross multiply
   10,494x = 23,061 × 23,061
4. Step 4: Simplify right side
   10,494x = 531,809,721
5. Step 5: Solve for x
   x = 531,809,721/10,494
6. Step 6: Final answer
   x = 50,677.50