Finding the Third Proportional to 17,583 and 35,782

Step by Step Solution

1. Step 1: Write the proportion equation
   17,583 : 35,782 = 35,782 : x
2. Step 2: Convert to fraction form
   17,583/35,782 = 35,782/x
3. Step 3: Cross multiply
   17,583x = 35,782 × 35,782
4. Step 4: Simplify right side
   17,583x = 1,280,351,524
5. Step 5: Solve for x
   x = 1,280,351,524/17,583
6. Step 6: Final answer
   x = 72,817.58