Finding the Third Proportional to 16,400 and 35,877

Step by Step Solution

1. Step 1: Write the proportion equation
   16,400 : 35,877 = 35,877 : x
2. Step 2: Convert to fraction form
   16,400/35,877 = 35,877/x
3. Step 3: Cross multiply
   16,400x = 35,877 × 35,877
4. Step 4: Simplify right side
   16,400x = 1,287,159,129
5. Step 5: Solve for x
   x = 1,287,159,129/16,400
6. Step 6: Final answer
   x = 78,485.31