Finding the Third Proportional to 30,820 and 72,730

Step by Step Solution

1. Step 1: Write the proportion equation
   30,820 : 72,730 = 72,730 : x
2. Step 2: Convert to fraction form
   30,820/72,730 = 72,730/x
3. Step 3: Cross multiply
   30,820x = 72,730 × 72,730
4. Step 4: Simplify right side
   30,820x = 5,289,652,900
5. Step 5: Solve for x
   x = 5,289,652,900/30,820
6. Step 6: Final answer
   x = 171,630.53