Finding the Third Proportional to 30,388 and 65,318

Step by Step Solution

1. Step 1: Write the proportion equation
   30,388 : 65,318 = 65,318 : x
2. Step 2: Convert to fraction form
   30,388/65,318 = 65,318/x
3. Step 3: Cross multiply
   30,388x = 65,318 × 65,318
4. Step 4: Simplify right side
   30,388x = 4,266,441,124
5. Step 5: Solve for x
   x = 4,266,441,124/30,388
6. Step 6: Final answer
   x = 140,398.88