Finding the Third Proportional to 16,157 and 35,077

Step by Step Solution

1. Step 1: Write the proportion equation
   16,157 : 35,077 = 35,077 : x
2. Step 2: Convert to fraction form
   16,157/35,077 = 35,077/x
3. Step 3: Cross multiply
   16,157x = 35,077 × 35,077
4. Step 4: Simplify right side
   16,157x = 1,230,395,929
5. Step 5: Solve for x
   x = 1,230,395,929/16,157
6. Step 6: Final answer
   x = 76,152.50