Finding the Third Proportional to 16,298 and 35,188

Step by Step Solution

1. Step 1: Write the proportion equation
   16,298 : 35,188 = 35,188 : x
2. Step 2: Convert to fraction form
   16,298/35,188 = 35,188/x
3. Step 3: Cross multiply
   16,298x = 35,188 × 35,188
4. Step 4: Simplify right side
   16,298x = 1,238,195,344
5. Step 5: Solve for x
   x = 1,238,195,344/16,298
6. Step 6: Final answer
   x = 75,972.23