Finding the Third Proportional to 13,184 and 18,280

Step by Step Solution

1. Step 1: Write the proportion equation
   13,184 : 18,280 = 18,280 : x
2. Step 2: Convert to fraction form
   13,184/18,280 = 18,280/x
3. Step 3: Cross multiply
   13,184x = 18,280 × 18,280
4. Step 4: Simplify right side
   13,184x = 334,158,400
5. Step 5: Solve for x
   x = 334,158,400/13,184
6. Step 6: Final answer
   x = 25,345.75