Finding the Third Proportional to 10,052 and 21,562

Step by Step Solution

1. Step 1: Write the proportion equation
   10,052 : 21,562 = 21,562 : x
2. Step 2: Convert to fraction form
   10,052/21,562 = 21,562/x
3. Step 3: Cross multiply
   10,052x = 21,562 × 21,562
4. Step 4: Simplify right side
   10,052x = 464,919,844
5. Step 5: Solve for x
   x = 464,919,844/10,052
6. Step 6: Final answer
   x = 46,251.48