Finding the Third Proportional to 16,470 and 35,286

Step by Step Solution

1. Step 1: Write the proportion equation
   16,470 : 35,286 = 35,286 : x
2. Step 2: Convert to fraction form
   16,470/35,286 = 35,286/x
3. Step 3: Cross multiply
   16,470x = 35,286 × 35,286
4. Step 4: Simplify right side
   16,470x = 1,245,101,796
5. Step 5: Solve for x
   x = 1,245,101,796/16,470
6. Step 6: Final answer
   x = 75,598.17