Finding the Third Proportional to 10,206 and 17,442

Step by Step Solution

1. Step 1: Write the proportion equation
   10,206 : 17,442 = 17,442 : x
2. Step 2: Convert to fraction form
   10,206/17,442 = 17,442/x
3. Step 3: Cross multiply
   10,206x = 17,442 × 17,442
4. Step 4: Simplify right side
   10,206x = 304,223,364
5. Step 5: Solve for x
   x = 304,223,364/10,206
6. Step 6: Final answer
   x = 29,808.29