Finding the Third Proportional to 47,656 and 65,408

Step by Step Solution

1. Step 1: Write the proportion equation
   47,656 : 65,408 = 65,408 : x
2. Step 2: Convert to fraction form
   47,656/65,408 = 65,408/x
3. Step 3: Cross multiply
   47,656x = 65,408 × 65,408
4. Step 4: Simplify right side
   47,656x = 4,278,206,464
5. Step 5: Solve for x
   x = 4,278,206,464/47,656
6. Step 6: Final answer
   x = 89,772.67