Finding the Third Proportional to 10,564 and 22,956

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 22,956 = 22,956 : x
2. Step 2: Convert to fraction form
   10,564/22,956 = 22,956/x
3. Step 3: Cross multiply
   10,564x = 22,956 × 22,956
4. Step 4: Simplify right side
   10,564x = 526,977,936
5. Step 5: Solve for x
   x = 526,977,936/10,564
6. Step 6: Final answer
   x = 49,884.32