Finding the Third Proportional to 30,206 and 64,012

Step by Step Solution

1. Step 1: Write the proportion equation
   30,206 : 64,012 = 64,012 : x
2. Step 2: Convert to fraction form
   30,206/64,012 = 64,012/x
3. Step 3: Cross multiply
   30,206x = 64,012 × 64,012
4. Step 4: Simplify right side
   30,206x = 4,097,536,144
5. Step 5: Solve for x
   x = 4,097,536,144/30,206
6. Step 6: Final answer
   x = 135,653.05