Finding the Third Proportional to 25,764 and 59,648

Step by Step Solution

1. Step 1: Write the proportion equation
   25,764 : 59,648 = 59,648 : x
2. Step 2: Convert to fraction form
   25,764/59,648 = 59,648/x
3. Step 3: Cross multiply
   25,764x = 59,648 × 59,648
4. Step 4: Simplify right side
   25,764x = 3,557,883,904
5. Step 5: Solve for x
   x = 3,557,883,904/25,764
6. Step 6: Final answer
   x = 138,095.17