Finding the Third Proportional to 25,162 and 52,772

Step by Step Solution

1. Step 1: Write the proportion equation
   25,162 : 52,772 = 52,772 : x
2. Step 2: Convert to fraction form
   25,162/52,772 = 52,772/x
3. Step 3: Cross multiply
   25,162x = 52,772 × 52,772
4. Step 4: Simplify right side
   25,162x = 2,784,883,984
5. Step 5: Solve for x
   x = 2,784,883,984/25,162
6. Step 6: Final answer
   x = 110,678.16