Finding the Third Proportional to 16,584 and 35,456

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 35,456 = 35,456 : x
2. Step 2: Convert to fraction form
   16,584/35,456 = 35,456/x
3. Step 3: Cross multiply
   16,584x = 35,456 × 35,456
4. Step 4: Simplify right side
   16,584x = 1,257,127,936
5. Step 5: Solve for x
   x = 1,257,127,936/16,584
6. Step 6: Final answer
   x = 75,803.66