Finding the Third Proportional to 31,866 and 65,778

Step by Step Solution

1. Step 1: Write the proportion equation
   31,866 : 65,778 = 65,778 : x
2. Step 2: Convert to fraction form
   31,866/65,778 = 65,778/x
3. Step 3: Cross multiply
   31,866x = 65,778 × 65,778
4. Step 4: Simplify right side
   31,866x = 4,326,745,284
5. Step 5: Solve for x
   x = 4,326,745,284/31,866
6. Step 6: Final answer
   x = 135,779.37