Finding the Third Proportional to 10,958 and 17,461

Step by Step Solution

1. Step 1: Write the proportion equation
   10,958 : 17,461 = 17,461 : x
2. Step 2: Convert to fraction form
   10,958/17,461 = 17,461/x
3. Step 3: Cross multiply
   10,958x = 17,461 × 17,461
4. Step 4: Simplify right side
   10,958x = 304,886,521
5. Step 5: Solve for x
   x = 304,886,521/10,958
6. Step 6: Final answer
   x = 27,823.19