Finding the Third Proportional to 11,664 and 18,470

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 18,470 = 18,470 : x
2. Step 2: Convert to fraction form
   11,664/18,470 = 18,470/x
3. Step 3: Cross multiply
   11,664x = 18,470 × 18,470
4. Step 4: Simplify right side
   11,664x = 341,140,900
5. Step 5: Solve for x
   x = 341,140,900/11,664
6. Step 6: Final answer
   x = 29,247.33