Finding the Third Proportional to 14,760 and 34,812

Step by Step Solution

1. Step 1: Write the proportion equation
   14,760 : 34,812 = 34,812 : x
2. Step 2: Convert to fraction form
   14,760/34,812 = 34,812/x
3. Step 3: Cross multiply
   14,760x = 34,812 × 34,812
4. Step 4: Simplify right side
   14,760x = 1,211,875,344
5. Step 5: Solve for x
   x = 1,211,875,344/14,760
6. Step 6: Final answer
   x = 82,105.38