Finding the Third Proportional to 12,696 and 20,184

Step by Step Solution

1. Step 1: Write the proportion equation
   12,696 : 20,184 = 20,184 : x
2. Step 2: Convert to fraction form
   12,696/20,184 = 20,184/x
3. Step 3: Cross multiply
   12,696x = 20,184 × 20,184
4. Step 4: Simplify right side
   12,696x = 407,393,856
5. Step 5: Solve for x
   x = 407,393,856/12,696
6. Step 6: Final answer
   x = 32,088.36