Finding the Third Proportional to 10,306 and 22,510

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306 : 22,510 = 22,510 : x
2. Step 2: Convert to fraction form
   10,306/22,510 = 22,510/x
3. Step 3: Cross multiply
   10,306x = 22,510 × 22,510
4. Step 4: Simplify right side
   10,306x = 506,700,100
5. Step 5: Solve for x
   x = 506,700,100/10,306
6. Step 6: Final answer
   x = 49,165.54