Finding the Third Proportional to 30,530 and 64,340

Step by Step Solution

1. Step 1: Write the proportion equation
   30,530 : 64,340 = 64,340 : x
2. Step 2: Convert to fraction form
   30,530/64,340 = 64,340/x
3. Step 3: Cross multiply
   30,530x = 64,340 × 64,340
4. Step 4: Simplify right side
   30,530x = 4,139,635,600
5. Step 5: Solve for x
   x = 4,139,635,600/30,530
6. Step 6: Final answer
   x = 135,592.39