Finding the Third Proportional to 12,146 and 15,819

Step by Step Solution

1. Step 1: Write the proportion equation
   12,146 : 15,819 = 15,819 : x
2. Step 2: Convert to fraction form
   12,146/15,819 = 15,819/x
3. Step 3: Cross multiply
   12,146x = 15,819 × 15,819
4. Step 4: Simplify right side
   12,146x = 250,240,761
5. Step 5: Solve for x
   x = 250,240,761/12,146
6. Step 6: Final answer
   x = 20,602.73