Finding the Third Proportional to 12,521 and 19,184

Step by Step Solution

1. Step 1: Write the proportion equation
   12,521 : 19,184 = 19,184 : x
2. Step 2: Convert to fraction form
   12,521/19,184 = 19,184/x
3. Step 3: Cross multiply
   12,521x = 19,184 × 19,184
4. Step 4: Simplify right side
   12,521x = 368,025,856
5. Step 5: Solve for x
   x = 368,025,856/12,521
6. Step 6: Final answer
   x = 29,392.69