Finding the Third Proportional to 39,828 and 58,830

Step by Step Solution

1. Step 1: Write the proportion equation
   39,828 : 58,830 = 58,830 : x
2. Step 2: Convert to fraction form
   39,828/58,830 = 58,830/x
3. Step 3: Cross multiply
   39,828x = 58,830 × 58,830
4. Step 4: Simplify right side
   39,828x = 3,460,968,900
5. Step 5: Solve for x
   x = 3,460,968,900/39,828
6. Step 6: Final answer
   x = 86,897.88