Finding the Third Proportional to 16,539 and 35,886

Step by Step Solution

1. Step 1: Write the proportion equation
   16,539 : 35,886 = 35,886 : x
2. Step 2: Convert to fraction form
   16,539/35,886 = 35,886/x
3. Step 3: Cross multiply
   16,539x = 35,886 × 35,886
4. Step 4: Simplify right side
   16,539x = 1,287,804,996
5. Step 5: Solve for x
   x = 1,287,804,996/16,539
6. Step 6: Final answer
   x = 77,864.74