Finding the Third Proportional to 14,880 and 35,065

Step by Step Solution

1. Step 1: Write the proportion equation
   14,880 : 35,065 = 35,065 : x
2. Step 2: Convert to fraction form
   14,880/35,065 = 35,065/x
3. Step 3: Cross multiply
   14,880x = 35,065 × 35,065
4. Step 4: Simplify right side
   14,880x = 1,229,554,225
5. Step 5: Solve for x
   x = 1,229,554,225/14,880
6. Step 6: Final answer
   x = 82,631.33