Finding the Third Proportional to 23,584 and 30,588

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584 : 30,588 = 30,588 : x
2. Step 2: Convert to fraction form
   23,584/30,588 = 30,588/x
3. Step 3: Cross multiply
   23,584x = 30,588 × 30,588
4. Step 4: Simplify right side
   23,584x = 935,625,744
5. Step 5: Solve for x
   x = 935,625,744/23,584
6. Step 6: Final answer
   x = 39,672.05