Finding the Third Proportional to 14,565 and 31,856

Step by Step Solution

1. Step 1: Write the proportion equation
   14,565 : 31,856 = 31,856 : x
2. Step 2: Convert to fraction form
   14,565/31,856 = 31,856/x
3. Step 3: Cross multiply
   14,565x = 31,856 × 31,856
4. Step 4: Simplify right side
   14,565x = 1,014,804,736
5. Step 5: Solve for x
   x = 1,014,804,736/14,565
6. Step 6: Final answer
   x = 69,674.20