Finding the Third Proportional to 17,277 and 35,645

Step by Step Solution

1. Step 1: Write the proportion equation
   17,277 : 35,645 = 35,645 : x
2. Step 2: Convert to fraction form
   17,277/35,645 = 35,645/x
3. Step 3: Cross multiply
   17,277x = 35,645 × 35,645
4. Step 4: Simplify right side
   17,277x = 1,270,566,025
5. Step 5: Solve for x
   x = 1,270,566,025/17,277
6. Step 6: Final answer
   x = 73,540.89