Finding the Third Proportional to 10,316 and 22,564

Step by Step Solution

1. Step 1: Write the proportion equation
   10,316 : 22,564 = 22,564 : x
2. Step 2: Convert to fraction form
   10,316/22,564 = 22,564/x
3. Step 3: Cross multiply
   10,316x = 22,564 × 22,564
4. Step 4: Simplify right side
   10,316x = 509,134,096
5. Step 5: Solve for x
   x = 509,134,096/10,316
6. Step 6: Final answer
   x = 49,353.83