Finding the Third Proportional to 25,544 and 59,360

Step by Step Solution

1. Step 1: Write the proportion equation
   25,544 : 59,360 = 59,360 : x
2. Step 2: Convert to fraction form
   25,544/59,360 = 59,360/x
3. Step 3: Cross multiply
   25,544x = 59,360 × 59,360
4. Step 4: Simplify right side
   25,544x = 3,523,609,600
5. Step 5: Solve for x
   x = 3,523,609,600/25,544
6. Step 6: Final answer
   x = 137,942.75