Finding the Third Proportional to 12,231 and 19,077

Step by Step Solution

1. Step 1: Write the proportion equation
   12,231 : 19,077 = 19,077 : x
2. Step 2: Convert to fraction form
   12,231/19,077 = 19,077/x
3. Step 3: Cross multiply
   12,231x = 19,077 × 19,077
4. Step 4: Simplify right side
   12,231x = 363,931,929
5. Step 5: Solve for x
   x = 363,931,929/12,231
6. Step 6: Final answer
   x = 29,754.88