Finding the Third Proportional to 14,691 and 34,647

Step by Step Solution

1. Step 1: Write the proportion equation
   14,691 : 34,647 = 34,647 : x
2. Step 2: Convert to fraction form
   14,691/34,647 = 34,647/x
3. Step 3: Cross multiply
   14,691x = 34,647 × 34,647
4. Step 4: Simplify right side
   14,691x = 1,200,414,609
5. Step 5: Solve for x
   x = 1,200,414,609/14,691
6. Step 6: Final answer
   x = 81,710.88