Finding the Third Proportional to 25,578 and 37,242

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578 : 37,242 = 37,242 : x
2. Step 2: Convert to fraction form
   25,578/37,242 = 37,242/x
3. Step 3: Cross multiply
   25,578x = 37,242 × 37,242
4. Step 4: Simplify right side
   25,578x = 1,386,966,564
5. Step 5: Solve for x
   x = 1,386,966,564/25,578
6. Step 6: Final answer
   x = 54,224.98