Finding the Third Proportional to 25,574 and 52,924

Step by Step Solution

1. Step 1: Write the proportion equation
   25,574 : 52,924 = 52,924 : x
2. Step 2: Convert to fraction form
   25,574/52,924 = 52,924/x
3. Step 3: Cross multiply
   25,574x = 52,924 × 52,924
4. Step 4: Simplify right side
   25,574x = 2,800,949,776
5. Step 5: Solve for x
   x = 2,800,949,776/25,574
6. Step 6: Final answer
   x = 109,523.34