Finding the Third Proportional to 12,142 and 19,428

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142 : 19,428 = 19,428 : x
2. Step 2: Convert to fraction form
   12,142/19,428 = 19,428/x
3. Step 3: Cross multiply
   12,142x = 19,428 × 19,428
4. Step 4: Simplify right side
   12,142x = 377,447,184
5. Step 5: Solve for x
   x = 377,447,184/12,142
6. Step 6: Final answer
   x = 31,086.08