Finding the Third Proportional to 10,564 and 23,112

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 23,112 = 23,112 : x
2. Step 2: Convert to fraction form
   10,564/23,112 = 23,112/x
3. Step 3: Cross multiply
   10,564x = 23,112 × 23,112
4. Step 4: Simplify right side
   10,564x = 534,164,544
5. Step 5: Solve for x
   x = 534,164,544/10,564
6. Step 6: Final answer
   x = 50,564.61