Finding the Third Proportional to 46,782 and 65,886

Step by Step Solution

1. Step 1: Write the proportion equation
   46,782 : 65,886 = 65,886 : x
2. Step 2: Convert to fraction form
   46,782/65,886 = 65,886/x
3. Step 3: Cross multiply
   46,782x = 65,886 × 65,886
4. Step 4: Simplify right side
   46,782x = 4,340,964,996
5. Step 5: Solve for x
   x = 4,340,964,996/46,782
6. Step 6: Final answer
   x = 92,791.35