Finding the Third Proportional to 16,447 and 35,666

Step by Step Solution

1. Step 1: Write the proportion equation
   16,447 : 35,666 = 35,666 : x
2. Step 2: Convert to fraction form
   16,447/35,666 = 35,666/x
3. Step 3: Cross multiply
   16,447x = 35,666 × 35,666
4. Step 4: Simplify right side
   16,447x = 1,272,063,556
5. Step 5: Solve for x
   x = 1,272,063,556/16,447
6. Step 6: Final answer
   x = 77,343.20