Finding the Third Proportional to 12,194 and 19,182

Step by Step Solution

1. Step 1: Write the proportion equation
   12,194 : 19,182 = 19,182 : x
2. Step 2: Convert to fraction form
   12,194/19,182 = 19,182/x
3. Step 3: Cross multiply
   12,194x = 19,182 × 19,182
4. Step 4: Simplify right side
   12,194x = 367,949,124
5. Step 5: Solve for x
   x = 367,949,124/12,194
6. Step 6: Final answer
   x = 30,174.60