Finding the Third Proportional to 25,626 and 56,820

Step by Step Solution

1. Step 1: Write the proportion equation
   25,626 : 56,820 = 56,820 : x
2. Step 2: Convert to fraction form
   25,626/56,820 = 56,820/x
3. Step 3: Cross multiply
   25,626x = 56,820 × 56,820
4. Step 4: Simplify right side
   25,626x = 3,228,512,400
5. Step 5: Solve for x
   x = 3,228,512,400/25,626
6. Step 6: Final answer
   x = 125,985.81