Finding the Third Proportional to 30,896 and 67,459

Step by Step Solution

1. Step 1: Write the proportion equation
   30,896 : 67,459 = 67,459 : x
2. Step 2: Convert to fraction form
   30,896/67,459 = 67,459/x
3. Step 3: Cross multiply
   30,896x = 67,459 × 67,459
4. Step 4: Simplify right side
   30,896x = 4,550,716,681
5. Step 5: Solve for x
   x = 4,550,716,681/30,896
6. Step 6: Final answer
   x = 147,291.45