Finding the Third Proportional to 10,822 and 23,613

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 23,613 = 23,613 : x
2. Step 2: Convert to fraction form
   10,822/23,613 = 23,613/x
3. Step 3: Cross multiply
   10,822x = 23,613 × 23,613
4. Step 4: Simplify right side
   10,822x = 557,573,769
5. Step 5: Solve for x
   x = 557,573,769/10,822
6. Step 6: Final answer
   x = 51,522.25