Finding the Third Proportional to 9,747.50 and 14,556

Step by Step Solution

1. Step 1: Write the proportion equation
   9,747.50 : 14,556 = 14,556 : x
2. Step 2: Convert to fraction form
   9,747.50/14,556 = 14,556/x
3. Step 3: Cross multiply
   9,747.50x = 14,556 × 14,556
4. Step 4: Simplify right side
   9,747.50x = 211,877,136
5. Step 5: Solve for x
   x = 211,877,136/9,747.50
6. Step 6: Final answer
   x = 21,736.56