Finding the Third Proportional to 10,144 and 20,527

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 20,527 = 20,527 : x
2. Step 2: Convert to fraction form
   10,144/20,527 = 20,527/x
3. Step 3: Cross multiply
   10,144x = 20,527 × 20,527
4. Step 4: Simplify right side
   10,144x = 421,357,729
5. Step 5: Solve for x
   x = 421,357,729/10,144
6. Step 6: Final answer
   x = 41,537.63