Finding the Third Proportional to 59,828 and 83,830

Step by Step Solution

1. Step 1: Write the proportion equation
   59,828 : 83,830 = 83,830 : x
2. Step 2: Convert to fraction form
   59,828/83,830 = 83,830/x
3. Step 3: Cross multiply
   59,828x = 83,830 × 83,830
4. Step 4: Simplify right side
   59,828x = 7,027,468,900
5. Step 5: Solve for x
   x = 7,027,468,900/59,828
6. Step 6: Final answer
   x = 117,461.20