Finding the Third Proportional to 12,282 and 19,213

Step by Step Solution

1. Step 1: Write the proportion equation
   12,282 : 19,213 = 19,213 : x
2. Step 2: Convert to fraction form
   12,282/19,213 = 19,213/x
3. Step 3: Cross multiply
   12,282x = 19,213 × 19,213
4. Step 4: Simplify right side
   12,282x = 369,139,369
5. Step 5: Solve for x
   x = 369,139,369/12,282
6. Step 6: Final answer
   x = 30,055.31