Finding the Third Proportional to 30,680 and 65,730

Step by Step Solution

1. Step 1: Write the proportion equation
   30,680 : 65,730 = 65,730 : x
2. Step 2: Convert to fraction form
   30,680/65,730 = 65,730/x
3. Step 3: Cross multiply
   30,680x = 65,730 × 65,730
4. Step 4: Simplify right side
   30,680x = 4,320,432,900
5. Step 5: Solve for x
   x = 4,320,432,900/30,680
6. Step 6: Final answer
   x = 140,822.45