Finding the Third Proportional to 12,144 and 18,658

Step by Step Solution

1. Step 1: Write the proportion equation
   12,144 : 18,658 = 18,658 : x
2. Step 2: Convert to fraction form
   12,144/18,658 = 18,658/x
3. Step 3: Cross multiply
   12,144x = 18,658 × 18,658
4. Step 4: Simplify right side
   12,144x = 348,120,964
5. Step 5: Solve for x
   x = 348,120,964/12,144
6. Step 6: Final answer
   x = 28,666.09