Finding the Third Proportional to 11,646 and 18,900

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646 : 18,900 = 18,900 : x
2. Step 2: Convert to fraction form
   11,646/18,900 = 18,900/x
3. Step 3: Cross multiply
   11,646x = 18,900 × 18,900
4. Step 4: Simplify right side
   11,646x = 357,210,000
5. Step 5: Solve for x
   x = 357,210,000/11,646
6. Step 6: Final answer
   x = 30,672.33