Finding the Third Proportional to 16,120 and 35,968

Step by Step Solution

1. Step 1: Write the proportion equation
   16,120 : 35,968 = 35,968 : x
2. Step 2: Convert to fraction form
   16,120/35,968 = 35,968/x
3. Step 3: Cross multiply
   16,120x = 35,968 × 35,968
4. Step 4: Simplify right side
   16,120x = 1,293,697,024
5. Step 5: Solve for x
   x = 1,293,697,024/16,120
6. Step 6: Final answer
   x = 80,254.16