Finding the Third Proportional to 46,764 and 65,778

Step by Step Solution

1. Step 1: Write the proportion equation
   46,764 : 65,778 = 65,778 : x
2. Step 2: Convert to fraction form
   46,764/65,778 = 65,778/x
3. Step 3: Cross multiply
   46,764x = 65,778 × 65,778
4. Step 4: Simplify right side
   46,764x = 4,326,745,284
5. Step 5: Solve for x
   x = 4,326,745,284/46,764
6. Step 6: Final answer
   x = 92,522.99