Finding the Third Proportional to 12,582 and 19,617

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582 : 19,617 = 19,617 : x
2. Step 2: Convert to fraction form
   12,582/19,617 = 19,617/x
3. Step 3: Cross multiply
   12,582x = 19,617 × 19,617
4. Step 4: Simplify right side
   12,582x = 384,826,689
5. Step 5: Solve for x
   x = 384,826,689/12,582
6. Step 6: Final answer
   x = 30,585.49