Finding the Third Proportional to 14,640 and 28,546

Step by Step Solution

1. Step 1: Write the proportion equation
   14,640 : 28,546 = 28,546 : x
2. Step 2: Convert to fraction form
   14,640/28,546 = 28,546/x
3. Step 3: Cross multiply
   14,640x = 28,546 × 28,546
4. Step 4: Simplify right side
   14,640x = 814,874,116
5. Step 5: Solve for x
   x = 814,874,116/14,640
6. Step 6: Final answer
   x = 55,660.80