Finding the Third Proportional to 25,942 and 50,588

Step by Step Solution

1. Step 1: Write the proportion equation
   25,942 : 50,588 = 50,588 : x
2. Step 2: Convert to fraction form
   25,942/50,588 = 50,588/x
3. Step 3: Cross multiply
   25,942x = 50,588 × 50,588
4. Step 4: Simplify right side
   25,942x = 2,559,145,744
5. Step 5: Solve for x
   x = 2,559,145,744/25,942
6. Step 6: Final answer
   x = 98,648.75