Finding the Third Proportional to 16,196 and 35,420

Step by Step Solution

1. Step 1: Write the proportion equation
   16,196 : 35,420 = 35,420 : x
2. Step 2: Convert to fraction form
   16,196/35,420 = 35,420/x
3. Step 3: Cross multiply
   16,196x = 35,420 × 35,420
4. Step 4: Simplify right side
   16,196x = 1,254,576,400
5. Step 5: Solve for x
   x = 1,254,576,400/16,196
6. Step 6: Final answer
   x = 77,462.11