Finding the Third Proportional to 5,205 and 10,146

Step by Step Solution

1. Step 1: Write the proportion equation
   5,205 : 10,146 = 10,146 : x
2. Step 2: Convert to fraction form
   5,205/10,146 = 10,146/x
3. Step 3: Cross multiply
   5,205x = 10,146 × 10,146
4. Step 4: Simplify right side
   5,205x = 102,941,316
5. Step 5: Solve for x
   x = 102,941,316/5,205
6. Step 6: Final answer
   x = 19,777.39