Finding the Third Proportional to 11,658 and 17,833

Step by Step Solution

1. Step 1: Write the proportion equation
   11,658 : 17,833 = 17,833 : x
2. Step 2: Convert to fraction form
   11,658/17,833 = 17,833/x
3. Step 3: Cross multiply
   11,658x = 17,833 × 17,833
4. Step 4: Simplify right side
   11,658x = 318,015,889
5. Step 5: Solve for x
   x = 318,015,889/11,658
6. Step 6: Final answer
   x = 27,278.77