Finding the Third Proportional to 12,354 and 19,158

Step by Step Solution

1. Step 1: Write the proportion equation
   12,354 : 19,158 = 19,158 : x
2. Step 2: Convert to fraction form
   12,354/19,158 = 19,158/x
3. Step 3: Cross multiply
   12,354x = 19,158 × 19,158
4. Step 4: Simplify right side
   12,354x = 367,028,964
5. Step 5: Solve for x
   x = 367,028,964/12,354
6. Step 6: Final answer
   x = 29,709.32