Finding the Third Proportional to 10,613 and 23,143

Step by Step Solution

1. Step 1: Write the proportion equation
   10,613 : 23,143 = 23,143 : x
2. Step 2: Convert to fraction form
   10,613/23,143 = 23,143/x
3. Step 3: Cross multiply
   10,613x = 23,143 × 23,143
4. Step 4: Simplify right side
   10,613x = 535,598,449
5. Step 5: Solve for x
   x = 535,598,449/10,613
6. Step 6: Final answer
   x = 50,466.26