Finding the Third Proportional to 12,184 and 18,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,184 : 18,409.50 = 18,409.50 : x
2. Step 2: Convert to fraction form
   12,184/18,409.50 = 18,409.50/x
3. Step 3: Cross multiply
   12,184x = 18,409.50 × 18,409.50
4. Step 4: Simplify right side
   12,184x = 338,909,690.25
5. Step 5: Solve for x
   x = 338,909,690.25/12,184
6. Step 6: Final answer
   x = 27,815.96