Finding the Third Proportional to 19,680 and 28,464

Step by Step Solution

1. Step 1: Write the proportion equation
   19,680 : 28,464 = 28,464 : x
2. Step 2: Convert to fraction form
   19,680/28,464 = 28,464/x
3. Step 3: Cross multiply
   19,680x = 28,464 × 28,464
4. Step 4: Simplify right side
   19,680x = 810,199,296
5. Step 5: Solve for x
   x = 810,199,296/19,680
6. Step 6: Final answer
   x = 41,168.66