Finding the Third Proportional to 14,464 and 31,695

Step by Step Solution

1. Step 1: Write the proportion equation
   14,464 : 31,695 = 31,695 : x
2. Step 2: Convert to fraction form
   14,464/31,695 = 31,695/x
3. Step 3: Cross multiply
   14,464x = 31,695 × 31,695
4. Step 4: Simplify right side
   14,464x = 1,004,573,025
5. Step 5: Solve for x
   x = 1,004,573,025/14,464
6. Step 6: Final answer
   x = 69,453.33