Finding the Third Proportional to 25,644 and 40,142

Step by Step Solution

1. Step 1: Write the proportion equation
   25,644 : 40,142 = 40,142 : x
2. Step 2: Convert to fraction form
   25,644/40,142 = 40,142/x
3. Step 3: Cross multiply
   25,644x = 40,142 × 40,142
4. Step 4: Simplify right side
   25,644x = 1,611,380,164
5. Step 5: Solve for x
   x = 1,611,380,164/25,644
6. Step 6: Final answer
   x = 62,836.54