Finding the Third Proportional to 16,288 and 35,084

Step by Step Solution

1. Step 1: Write the proportion equation
   16,288 : 35,084 = 35,084 : x
2. Step 2: Convert to fraction form
   16,288/35,084 = 35,084/x
3. Step 3: Cross multiply
   16,288x = 35,084 × 35,084
4. Step 4: Simplify right side
   16,288x = 1,230,887,056
5. Step 5: Solve for x
   x = 1,230,887,056/16,288
6. Step 6: Final answer
   x = 75,570.18