Finding the Third Proportional to 30,830 and 47,830

Step by Step Solution

1. Step 1: Write the proportion equation
   30,830 : 47,830 = 47,830 : x
2. Step 2: Convert to fraction form
   30,830/47,830 = 47,830/x
3. Step 3: Cross multiply
   30,830x = 47,830 × 47,830
4. Step 4: Simplify right side
   30,830x = 2,287,708,900
5. Step 5: Solve for x
   x = 2,287,708,900/30,830
6. Step 6: Final answer
   x = 74,203.99