Finding the Third Proportional to 16,382 and 35,102

Step by Step Solution

1. Step 1: Write the proportion equation
   16,382 : 35,102 = 35,102 : x
2. Step 2: Convert to fraction form
   16,382/35,102 = 35,102/x
3. Step 3: Cross multiply
   16,382x = 35,102 × 35,102
4. Step 4: Simplify right side
   16,382x = 1,232,150,404
5. Step 5: Solve for x
   x = 1,232,150,404/16,382
6. Step 6: Final answer
   x = 75,213.67