Finding the Third Proportional to 10,474 and 22,562

Step by Step Solution

1. Step 1: Write the proportion equation
   10,474 : 22,562 = 22,562 : x
2. Step 2: Convert to fraction form
   10,474/22,562 = 22,562/x
3. Step 3: Cross multiply
   10,474x = 22,562 × 22,562
4. Step 4: Simplify right side
   10,474x = 509,043,844
5. Step 5: Solve for x
   x = 509,043,844/10,474
6. Step 6: Final answer
   x = 48,600.71