Finding the Third Proportional to 9,194 and 12,322

Step by Step Solution

1. Step 1: Write the proportion equation
   9,194 : 12,322 = 12,322 : x
2. Step 2: Convert to fraction form
   9,194/12,322 = 12,322/x
3. Step 3: Cross multiply
   9,194x = 12,322 × 12,322
4. Step 4: Simplify right side
   9,194x = 151,831,684
5. Step 5: Solve for x
   x = 151,831,684/9,194
6. Step 6: Final answer
   x = 16,514.21