Finding the Third Proportional to 17,584 and 35,821

Step by Step Solution

1. Step 1: Write the proportion equation
   17,584 : 35,821 = 35,821 : x
2. Step 2: Convert to fraction form
   17,584/35,821 = 35,821/x
3. Step 3: Cross multiply
   17,584x = 35,821 × 35,821
4. Step 4: Simplify right side
   17,584x = 1,283,144,041
5. Step 5: Solve for x
   x = 1,283,144,041/17,584
6. Step 6: Final answer
   x = 72,972.25