Finding the Third Proportional to 16,449 and 35,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,449 : 35,706 = 35,706 : x
2. Step 2: Convert to fraction form
   16,449/35,706 = 35,706/x
3. Step 3: Cross multiply
   16,449x = 35,706 × 35,706
4. Step 4: Simplify right side
   16,449x = 1,274,918,436
5. Step 5: Solve for x
   x = 1,274,918,436/16,449
6. Step 6: Final answer
   x = 77,507.35