Finding the Third Proportional to 25,820 and 56,378

Step by Step Solution

1. Step 1: Write the proportion equation
   25,820 : 56,378 = 56,378 : x
2. Step 2: Convert to fraction form
   25,820/56,378 = 56,378/x
3. Step 3: Cross multiply
   25,820x = 56,378 × 56,378
4. Step 4: Simplify right side
   25,820x = 3,178,478,884
5. Step 5: Solve for x
   x = 3,178,478,884/25,820
6. Step 6: Final answer
   x = 123,101.43