Finding the Third Proportional to 12,582 and 13,590

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582 : 13,590 = 13,590 : x
2. Step 2: Convert to fraction form
   12,582/13,590 = 13,590/x
3. Step 3: Cross multiply
   12,582x = 13,590 × 13,590
4. Step 4: Simplify right side
   12,582x = 184,688,100
5. Step 5: Solve for x
   x = 184,688,100/12,582
6. Step 6: Final answer
   x = 14,678.76