Finding the Third Proportional to 11,564 and 19,164

Step by Step Solution

1. Step 1: Write the proportion equation
   11,564 : 19,164 = 19,164 : x
2. Step 2: Convert to fraction form
   11,564/19,164 = 19,164/x
3. Step 3: Cross multiply
   11,564x = 19,164 × 19,164
4. Step 4: Simplify right side
   11,564x = 367,258,896
5. Step 5: Solve for x
   x = 367,258,896/11,564
6. Step 6: Final answer
   x = 31,758.81