Finding the Third Proportional to 12,184 and 15,780

Step by Step Solution

1. Step 1: Write the proportion equation
   12,184 : 15,780 = 15,780 : x
2. Step 2: Convert to fraction form
   12,184/15,780 = 15,780/x
3. Step 3: Cross multiply
   12,184x = 15,780 × 15,780
4. Step 4: Simplify right side
   12,184x = 249,008,400
5. Step 5: Solve for x
   x = 249,008,400/12,184
6. Step 6: Final answer
   x = 20,437.33