Finding the Third Proportional to 12,216 and 19,364

Step by Step Solution

1. Step 1: Write the proportion equation
   12,216 : 19,364 = 19,364 : x
2. Step 2: Convert to fraction form
   12,216/19,364 = 19,364/x
3. Step 3: Cross multiply
   12,216x = 19,364 × 19,364
4. Step 4: Simplify right side
   12,216x = 374,964,496
5. Step 5: Solve for x
   x = 374,964,496/12,216
6. Step 6: Final answer
   x = 30,694.54