Finding the Third Proportional to 11,460 and 17,858

Step by Step Solution

1. Step 1: Write the proportion equation
   11,460 : 17,858 = 17,858 : x
2. Step 2: Convert to fraction form
   11,460/17,858 = 17,858/x
3. Step 3: Cross multiply
   11,460x = 17,858 × 17,858
4. Step 4: Simplify right side
   11,460x = 318,908,164
5. Step 5: Solve for x
   x = 318,908,164/11,460
6. Step 6: Final answer
   x = 27,827.94