Finding the Third Proportional to 27,830 and 58,576

Step by Step Solution

1. Step 1: Write the proportion equation
   27,830 : 58,576 = 58,576 : x
2. Step 2: Convert to fraction form
   27,830/58,576 = 58,576/x
3. Step 3: Cross multiply
   27,830x = 58,576 × 58,576
4. Step 4: Simplify right side
   27,830x = 3,431,147,776
5. Step 5: Solve for x
   x = 3,431,147,776/27,830
6. Step 6: Final answer
   x = 123,289.54