Finding the Third Proportional to 25,624 and 52,524

Step by Step Solution

1. Step 1: Write the proportion equation
   25,624 : 52,524 = 52,524 : x
2. Step 2: Convert to fraction form
   25,624/52,524 = 52,524/x
3. Step 3: Cross multiply
   25,624x = 52,524 × 52,524
4. Step 4: Simplify right side
   25,624x = 2,758,770,576
5. Step 5: Solve for x
   x = 2,758,770,576/25,624
6. Step 6: Final answer
   x = 107,663.54