Finding the Third Proportional to 9,740 and 13,212

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740 : 13,212 = 13,212 : x
2. Step 2: Convert to fraction form
   9,740/13,212 = 13,212/x
3. Step 3: Cross multiply
   9,740x = 13,212 × 13,212
4. Step 4: Simplify right side
   9,740x = 174,556,944
5. Step 5: Solve for x
   x = 174,556,944/9,740
6. Step 6: Final answer
   x = 17,921.66