Finding the Third Proportional to 27,469 and 59,834

Step by Step Solution

1. Step 1: Write the proportion equation
   27,469 : 59,834 = 59,834 : x
2. Step 2: Convert to fraction form
   27,469/59,834 = 59,834/x
3. Step 3: Cross multiply
   27,469x = 59,834 × 59,834
4. Step 4: Simplify right side
   27,469x = 3,580,107,556
5. Step 5: Solve for x
   x = 3,580,107,556/27,469
6. Step 6: Final answer
   x = 130,332.65