Finding the Third Proportional to 10,136 and 23,548

Step by Step Solution

1. Step 1: Write the proportion equation
   10,136 : 23,548 = 23,548 : x
2. Step 2: Convert to fraction form
   10,136/23,548 = 23,548/x
3. Step 3: Cross multiply
   10,136x = 23,548 × 23,548
4. Step 4: Simplify right side
   10,136x = 554,508,304
5. Step 5: Solve for x
   x = 554,508,304/10,136
6. Step 6: Final answer
   x = 54,706.82