Finding the Third Proportional to 25,974 and 56,322

Step by Step Solution

1. Step 1: Write the proportion equation
   25,974 : 56,322 = 56,322 : x
2. Step 2: Convert to fraction form
   25,974/56,322 = 56,322/x
3. Step 3: Cross multiply
   25,974x = 56,322 × 56,322
4. Step 4: Simplify right side
   25,974x = 3,172,167,684
5. Step 5: Solve for x
   x = 3,172,167,684/25,974
6. Step 6: Final answer
   x = 122,128.58