Finding the Third Proportional to 16,266 and 35,580

Step by Step Solution

1. Step 1: Write the proportion equation
   16,266 : 35,580 = 35,580 : x
2. Step 2: Convert to fraction form
   16,266/35,580 = 35,580/x
3. Step 3: Cross multiply
   16,266x = 35,580 × 35,580
4. Step 4: Simplify right side
   16,266x = 1,265,936,400
5. Step 5: Solve for x
   x = 1,265,936,400/16,266
6. Step 6: Final answer
   x = 77,827.15