Finding the Third Proportional to 25,578 and 52,932

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578 : 52,932 = 52,932 : x
2. Step 2: Convert to fraction form
   25,578/52,932 = 52,932/x
3. Step 3: Cross multiply
   25,578x = 52,932 × 52,932
4. Step 4: Simplify right side
   25,578x = 2,801,796,624
5. Step 5: Solve for x
   x = 2,801,796,624/25,578
6. Step 6: Final answer
   x = 109,539.32