Finding the Third Proportional to 22,596 and 30,186

Step by Step Solution

1. Step 1: Write the proportion equation
   22,596 : 30,186 = 30,186 : x
2. Step 2: Convert to fraction form
   22,596/30,186 = 30,186/x
3. Step 3: Cross multiply
   22,596x = 30,186 × 30,186
4. Step 4: Simplify right side
   22,596x = 911,194,596
5. Step 5: Solve for x
   x = 911,194,596/22,596
6. Step 6: Final answer
   x = 40,325.48