Finding the Third Proportional to 12,401 and 19,148

Step by Step Solution

1. Step 1: Write the proportion equation
   12,401 : 19,148 = 19,148 : x
2. Step 2: Convert to fraction form
   12,401/19,148 = 19,148/x
3. Step 3: Cross multiply
   12,401x = 19,148 × 19,148
4. Step 4: Simplify right side
   12,401x = 366,645,904
5. Step 5: Solve for x
   x = 366,645,904/12,401
6. Step 6: Final answer
   x = 29,565.83