Finding the Third Proportional to 25,827 and 56,406

Step by Step Solution

1. Step 1: Write the proportion equation
   25,827 : 56,406 = 56,406 : x
2. Step 2: Convert to fraction form
   25,827/56,406 = 56,406/x
3. Step 3: Cross multiply
   25,827x = 56,406 × 56,406
4. Step 4: Simplify right side
   25,827x = 3,181,636,836
5. Step 5: Solve for x
   x = 3,181,636,836/25,827
6. Step 6: Final answer
   x = 123,190.34