Finding the Third Proportional to 25,408 and 38,648

Step by Step Solution

1. Step 1: Write the proportion equation
   25,408 : 38,648 = 38,648 : x
2. Step 2: Convert to fraction form
   25,408/38,648 = 38,648/x
3. Step 3: Cross multiply
   25,408x = 38,648 × 38,648
4. Step 4: Simplify right side
   25,408x = 1,493,667,904
5. Step 5: Solve for x
   x = 1,493,667,904/25,408
6. Step 6: Final answer
   x = 58,787.31