Finding the Third Proportional to 27,684 and 58,830

Step by Step Solution

1. Step 1: Write the proportion equation
   27,684 : 58,830 = 58,830 : x
2. Step 2: Convert to fraction form
   27,684/58,830 = 58,830/x
3. Step 3: Cross multiply
   27,684x = 58,830 × 58,830
4. Step 4: Simplify right side
   27,684x = 3,460,968,900
5. Step 5: Solve for x
   x = 3,460,968,900/27,684
6. Step 6: Final answer
   x = 125,016.94