Finding the Third Proportional to 14,466 and 31,706

Step by Step Solution

1. Step 1: Write the proportion equation
   14,466 : 31,706 = 31,706 : x
2. Step 2: Convert to fraction form
   14,466/31,706 = 31,706/x
3. Step 3: Cross multiply
   14,466x = 31,706 × 31,706
4. Step 4: Simplify right side
   14,466x = 1,005,270,436
5. Step 5: Solve for x
   x = 1,005,270,436/14,466
6. Step 6: Final answer
   x = 69,491.94