Finding the Third Proportional to 25,788 and 60,564

Step by Step Solution

1. Step 1: Write the proportion equation
   25,788 : 60,564 = 60,564 : x
2. Step 2: Convert to fraction form
   25,788/60,564 = 60,564/x
3. Step 3: Cross multiply
   25,788x = 60,564 × 60,564
4. Step 4: Simplify right side
   25,788x = 3,667,998,096
5. Step 5: Solve for x
   x = 3,667,998,096/25,788
6. Step 6: Final answer
   x = 142,236.63