Finding the Third Proportional to 12,300 and 18,194

Step by Step Solution

1. Step 1: Write the proportion equation
   12,300 : 18,194 = 18,194 : x
2. Step 2: Convert to fraction form
   12,300/18,194 = 18,194/x
3. Step 3: Cross multiply
   12,300x = 18,194 × 18,194
4. Step 4: Simplify right side
   12,300x = 331,021,636
5. Step 5: Solve for x
   x = 331,021,636/12,300
6. Step 6: Final answer
   x = 26,912.33