Finding the Third Proportional to 25,827 and 56,569

Step by Step Solution

1. Step 1: Write the proportion equation
   25,827 : 56,569 = 56,569 : x
2. Step 2: Convert to fraction form
   25,827/56,569 = 56,569/x
3. Step 3: Cross multiply
   25,827x = 56,569 × 56,569
4. Step 4: Simplify right side
   25,827x = 3,200,051,761
5. Step 5: Solve for x
   x = 3,200,051,761/25,827
6. Step 6: Final answer
   x = 123,903.35