Finding the Third Proportional to 39,648 and 45,408

Step by Step Solution

1. Step 1: Write the proportion equation
   39,648 : 45,408 = 45,408 : x
2. Step 2: Convert to fraction form
   39,648/45,408 = 45,408/x
3. Step 3: Cross multiply
   39,648x = 45,408 × 45,408
4. Step 4: Simplify right side
   39,648x = 2,061,886,464
5. Step 5: Solve for x
   x = 2,061,886,464/39,648
6. Step 6: Final answer
   x = 52,004.80