Finding the Third Proportional to 13,582 and 21,610

Step by Step Solution

1. Step 1: Write the proportion equation
   13,582 : 21,610 = 21,610 : x
2. Step 2: Convert to fraction form
   13,582/21,610 = 21,610/x
3. Step 3: Cross multiply
   13,582x = 21,610 × 21,610
4. Step 4: Simplify right side
   13,582x = 466,992,100
5. Step 5: Solve for x
   x = 466,992,100/13,582
6. Step 6: Final answer
   x = 34,383.16