Finding the Third Proportional to 16,454 and 35,828

Step by Step Solution

1. Step 1: Write the proportion equation
   16,454 : 35,828 = 35,828 : x
2. Step 2: Convert to fraction form
   16,454/35,828 = 35,828/x
3. Step 3: Cross multiply
   16,454x = 35,828 × 35,828
4. Step 4: Simplify right side
   16,454x = 1,283,645,584
5. Step 5: Solve for x
   x = 1,283,645,584/16,454
6. Step 6: Final answer
   x = 78,014.20