Finding the Third Proportional to 16,404 and 35,643

Step by Step Solution

1. Step 1: Write the proportion equation
   16,404 : 35,643 = 35,643 : x
2. Step 2: Convert to fraction form
   16,404/35,643 = 35,643/x
3. Step 3: Cross multiply
   16,404x = 35,643 × 35,643
4. Step 4: Simplify right side
   16,404x = 1,270,423,449
5. Step 5: Solve for x
   x = 1,270,423,449/16,404
6. Step 6: Final answer
   x = 77,445.96