Finding the Third Proportional to 25,684 and 56,402

Step by Step Solution

1. Step 1: Write the proportion equation
   25,684 : 56,402 = 56,402 : x
2. Step 2: Convert to fraction form
   25,684/56,402 = 56,402/x
3. Step 3: Cross multiply
   25,684x = 56,402 × 56,402
4. Step 4: Simplify right side
   25,684x = 3,181,185,604
5. Step 5: Solve for x
   x = 3,181,185,604/25,684
6. Step 6: Final answer
   x = 123,858.65