Finding the Third Proportional to 30,974.50 and 67,880

Step by Step Solution

1. Step 1: Write the proportion equation
   30,974.50 : 67,880 = 67,880 : x
2. Step 2: Convert to fraction form
   30,974.50/67,880 = 67,880/x
3. Step 3: Cross multiply
   30,974.50x = 67,880 × 67,880
4. Step 4: Simplify right side
   30,974.50x = 4,607,694,400
5. Step 5: Solve for x
   x = 4,607,694,400/30,974.50
6. Step 6: Final answer
   x = 148,757.67