Finding the Third Proportional to 8,184 and 13,434

Step by Step Solution

1. Step 1: Write the proportion equation
   8,184 : 13,434 = 13,434 : x
2. Step 2: Convert to fraction form
   8,184/13,434 = 13,434/x
3. Step 3: Cross multiply
   8,184x = 13,434 × 13,434
4. Step 4: Simplify right side
   8,184x = 180,472,356
5. Step 5: Solve for x
   x = 180,472,356/8,184
6. Step 6: Final answer
   x = 22,051.85