Finding the Third Proportional to 17,858 and 27,253

Step by Step Solution

1. Step 1: Write the proportion equation
   17,858 : 27,253 = 27,253 : x
2. Step 2: Convert to fraction form
   17,858/27,253 = 27,253/x
3. Step 3: Cross multiply
   17,858x = 27,253 × 27,253
4. Step 4: Simplify right side
   17,858x = 742,726,009
5. Step 5: Solve for x
   x = 742,726,009/17,858
6. Step 6: Final answer
   x = 41,590.66