Finding the Third Proportional to 16,339 and 35,827

Step by Step Solution

1. Step 1: Write the proportion equation
   16,339 : 35,827 = 35,827 : x
2. Step 2: Convert to fraction form
   16,339/35,827 = 35,827/x
3. Step 3: Cross multiply
   16,339x = 35,827 × 35,827
4. Step 4: Simplify right side
   16,339x = 1,283,573,929
5. Step 5: Solve for x
   x = 1,283,573,929/16,339
6. Step 6: Final answer
   x = 78,558.90