Finding the Third Proportional to 14,556 and 34,662

Step by Step Solution

1. Step 1: Write the proportion equation
   14,556 : 34,662 = 34,662 : x
2. Step 2: Convert to fraction form
   14,556/34,662 = 34,662/x
3. Step 3: Cross multiply
   14,556x = 34,662 × 34,662
4. Step 4: Simplify right side
   14,556x = 1,201,454,244
5. Step 5: Solve for x
   x = 1,201,454,244/14,556
6. Step 6: Final answer
   x = 82,540.14