Finding the Third Proportional to 26,580 and 57,834

Step by Step Solution

1. Step 1: Write the proportion equation
   26,580 : 57,834 = 57,834 : x
2. Step 2: Convert to fraction form
   26,580/57,834 = 57,834/x
3. Step 3: Cross multiply
   26,580x = 57,834 × 57,834
4. Step 4: Simplify right side
   26,580x = 3,344,771,556
5. Step 5: Solve for x
   x = 3,344,771,556/26,580
6. Step 6: Final answer
   x = 125,837.91