Finding the Third Proportional to 16,196 and 35,080

Step by Step Solution

1. Step 1: Write the proportion equation
   16,196 : 35,080 = 35,080 : x
2. Step 2: Convert to fraction form
   16,196/35,080 = 35,080/x
3. Step 3: Cross multiply
   16,196x = 35,080 × 35,080
4. Step 4: Simplify right side
   16,196x = 1,230,606,400
5. Step 5: Solve for x
   x = 1,230,606,400/16,196
6. Step 6: Final answer
   x = 75,982.12