Finding the Third Proportional to 30,900 and 65,460

Step by Step Solution

1. Step 1: Write the proportion equation
   30,900 : 65,460 = 65,460 : x
2. Step 2: Convert to fraction form
   30,900/65,460 = 65,460/x
3. Step 3: Cross multiply
   30,900x = 65,460 × 65,460
4. Step 4: Simplify right side
   30,900x = 4,285,011,600
5. Step 5: Solve for x
   x = 4,285,011,600/30,900
6. Step 6: Final answer
   x = 138,673.51