Finding the Third Proportional to 10,146 and 20,535

Step by Step Solution

1. Step 1: Write the proportion equation
   10,146 : 20,535 = 20,535 : x
2. Step 2: Convert to fraction form
   10,146/20,535 = 20,535/x
3. Step 3: Cross multiply
   10,146x = 20,535 × 20,535
4. Step 4: Simplify right side
   10,146x = 421,686,225
5. Step 5: Solve for x
   x = 421,686,225/10,146
6. Step 6: Final answer
   x = 41,561.82