Finding the Third Proportional to 12,522 and 27,184

Step by Step Solution

1. Step 1: Write the proportion equation
   12,522 : 27,184 = 27,184 : x
2. Step 2: Convert to fraction form
   12,522/27,184 = 27,184/x
3. Step 3: Cross multiply
   12,522x = 27,184 × 27,184
4. Step 4: Simplify right side
   12,522x = 738,969,856
5. Step 5: Solve for x
   x = 738,969,856/12,522
6. Step 6: Final answer
   x = 59,013.72