Finding the Third Proportional to 14,600 and 31,666

Step by Step Solution

1. Step 1: Write the proportion equation
   14,600 : 31,666 = 31,666 : x
2. Step 2: Convert to fraction form
   14,600/31,666 = 31,666/x
3. Step 3: Cross multiply
   14,600x = 31,666 × 31,666
4. Step 4: Simplify right side
   14,600x = 1,002,735,556
5. Step 5: Solve for x
   x = 1,002,735,556/14,600
6. Step 6: Final answer
   x = 68,680.52