Finding the Third Proportional to 12,364 and 16,146

Step by Step Solution

1. Step 1: Write the proportion equation
   12,364 : 16,146 = 16,146 : x
2. Step 2: Convert to fraction form
   12,364/16,146 = 16,146/x
3. Step 3: Cross multiply
   12,364x = 16,146 × 16,146
4. Step 4: Simplify right side
   12,364x = 260,693,316
5. Step 5: Solve for x
   x = 260,693,316/12,364
6. Step 6: Final answer
   x = 21,084.87