Finding the Third Proportional to 9,500 and 14,748

Step by Step Solution

1. Step 1: Write the proportion equation
   9,500 : 14,748 = 14,748 : x
2. Step 2: Convert to fraction form
   9,500/14,748 = 14,748/x
3. Step 3: Cross multiply
   9,500x = 14,748 × 14,748
4. Step 4: Simplify right side
   9,500x = 217,503,504
5. Step 5: Solve for x
   x = 217,503,504/9,500
6. Step 6: Final answer
   x = 22,895.11