Finding the Third Proportional to 16,064 and 35,584

Step by Step Solution

1. Step 1: Write the proportion equation
   16,064 : 35,584 = 35,584 : x
2. Step 2: Convert to fraction form
   16,064/35,584 = 35,584/x
3. Step 3: Cross multiply
   16,064x = 35,584 × 35,584
4. Step 4: Simplify right side
   16,064x = 1,266,221,056
5. Step 5: Solve for x
   x = 1,266,221,056/16,064
6. Step 6: Final answer
   x = 78,823.52