Finding the Third Proportional to 16,020 and 34,409

Step by Step Solution

1. Step 1: Write the proportion equation
   16,020 : 34,409 = 34,409 : x
2. Step 2: Convert to fraction form
   16,020/34,409 = 34,409/x
3. Step 3: Cross multiply
   16,020x = 34,409 × 34,409
4. Step 4: Simplify right side
   16,020x = 1,183,979,281
5. Step 5: Solve for x
   x = 1,183,979,281/16,020
6. Step 6: Final answer
   x = 73,906.32