Finding the Third Proportional to 17,584 and 27,840

Step by Step Solution

1. Step 1: Write the proportion equation
   17,584 : 27,840 = 27,840 : x
2. Step 2: Convert to fraction form
   17,584/27,840 = 27,840/x
3. Step 3: Cross multiply
   17,584x = 27,840 × 27,840
4. Step 4: Simplify right side
   17,584x = 775,065,600
5. Step 5: Solve for x
   x = 775,065,600/17,584
6. Step 6: Final answer
   x = 44,077.89