Finding the Third Proportional to 30,208 and 64,084

Step by Step Solution

1. Step 1: Write the proportion equation
   30,208 : 64,084 = 64,084 : x
2. Step 2: Convert to fraction form
   30,208/64,084 = 64,084/x
3. Step 3: Cross multiply
   30,208x = 64,084 × 64,084
4. Step 4: Simplify right side
   30,208x = 4,106,759,056
5. Step 5: Solve for x
   x = 4,106,759,056/30,208
6. Step 6: Final answer
   x = 135,949.39