Finding the Third Proportional to 17,280 and 35,649

Step by Step Solution

1. Step 1: Write the proportion equation
   17,280 : 35,649 = 35,649 : x
2. Step 2: Convert to fraction form
   17,280/35,649 = 35,649/x
3. Step 3: Cross multiply
   17,280x = 35,649 × 35,649
4. Step 4: Simplify right side
   17,280x = 1,270,851,201
5. Step 5: Solve for x
   x = 1,270,851,201/17,280
6. Step 6: Final answer
   x = 73,544.63