Finding the Third Proportional to 12,178 and 16,191

Step by Step Solution

1. Step 1: Write the proportion equation
   12,178 : 16,191 = 16,191 : x
2. Step 2: Convert to fraction form
   12,178/16,191 = 16,191/x
3. Step 3: Cross multiply
   12,178x = 16,191 × 16,191
4. Step 4: Simplify right side
   12,178x = 262,148,481
5. Step 5: Solve for x
   x = 262,148,481/12,178
6. Step 6: Final answer
   x = 21,526.40