Finding the Third Proportional to 30,620 and 64,006

Step by Step Solution

1. Step 1: Write the proportion equation
   30,620 : 64,006 = 64,006 : x
2. Step 2: Convert to fraction form
   30,620/64,006 = 64,006/x
3. Step 3: Cross multiply
   30,620x = 64,006 × 64,006
4. Step 4: Simplify right side
   30,620x = 4,096,768,036
5. Step 5: Solve for x
   x = 4,096,768,036/30,620
6. Step 6: Final answer
   x = 133,793.86