Finding the Third Proportional to 14,500 and 17,764

Step by Step Solution

1. Step 1: Write the proportion equation
   14,500 : 17,764 = 17,764 : x
2. Step 2: Convert to fraction form
   14,500/17,764 = 17,764/x
3. Step 3: Cross multiply
   14,500x = 17,764 × 17,764
4. Step 4: Simplify right side
   14,500x = 315,559,696
5. Step 5: Solve for x
   x = 315,559,696/14,500
6. Step 6: Final answer
   x = 21,762.74