Finding the Third Proportional to 16,836 and 35,447

Step by Step Solution

1. Step 1: Write the proportion equation
   16,836 : 35,447 = 35,447 : x
2. Step 2: Convert to fraction form
   16,836/35,447 = 35,447/x
3. Step 3: Cross multiply
   16,836x = 35,447 × 35,447
4. Step 4: Simplify right side
   16,836x = 1,256,489,809
5. Step 5: Solve for x
   x = 1,256,489,809/16,836
6. Step 6: Final answer
   x = 74,631.14