Finding the Third Proportional to 12,586 and 17,606

Step by Step Solution

1. Step 1: Write the proportion equation
   12,586 : 17,606 = 17,606 : x
2. Step 2: Convert to fraction form
   12,586/17,606 = 17,606/x
3. Step 3: Cross multiply
   12,586x = 17,606 × 17,606
4. Step 4: Simplify right side
   12,586x = 309,971,236
5. Step 5: Solve for x
   x = 309,971,236/12,586
6. Step 6: Final answer
   x = 24,628.26