Finding the Third Proportional to 13,747 and 29,666

Step by Step Solution

1. Step 1: Write the proportion equation
   13,747 : 29,666 = 29,666 : x
2. Step 2: Convert to fraction form
   13,747/29,666 = 29,666/x
3. Step 3: Cross multiply
   13,747x = 29,666 × 29,666
4. Step 4: Simplify right side
   13,747x = 880,071,556
5. Step 5: Solve for x
   x = 880,071,556/13,747
6. Step 6: Final answer
   x = 64,019.17