Finding the Third Proportional to 25,256 and 37,884

Step by Step Solution

1. Step 1: Write the proportion equation
   25,256 : 37,884 = 37,884 : x
2. Step 2: Convert to fraction form
   25,256/37,884 = 37,884/x
3. Step 3: Cross multiply
   25,256x = 37,884 × 37,884
4. Step 4: Simplify right side
   25,256x = 1,435,197,456
5. Step 5: Solve for x
   x = 1,435,197,456/25,256
6. Step 6: Final answer
   x = 56,826