Finding the Third Proportional to 27,404 and 58,684

Step by Step Solution

1. Step 1: Write the proportion equation
   27,404 : 58,684 = 58,684 : x
2. Step 2: Convert to fraction form
   27,404/58,684 = 58,684/x
3. Step 3: Cross multiply
   27,404x = 58,684 × 58,684
4. Step 4: Simplify right side
   27,404x = 3,443,811,856
5. Step 5: Solve for x
   x = 3,443,811,856/27,404
6. Step 6: Final answer
   x = 125,668.22