Finding the Third Proportional to 20,880 and 30,186

Step by Step Solution

1. Step 1: Write the proportion equation
   20,880 : 30,186 = 30,186 : x
2. Step 2: Convert to fraction form
   20,880/30,186 = 30,186/x
3. Step 3: Cross multiply
   20,880x = 30,186 × 30,186
4. Step 4: Simplify right side
   20,880x = 911,194,596
5. Step 5: Solve for x
   x = 911,194,596/20,880
6. Step 6: Final answer
   x = 43,639.59