Finding the Third Proportional to 14,648 and 34,571

Step by Step Solution

1. Step 1: Write the proportion equation
   14,648 : 34,571 = 34,571 : x
2. Step 2: Convert to fraction form
   14,648/34,571 = 34,571/x
3. Step 3: Cross multiply
   14,648x = 34,571 × 34,571
4. Step 4: Simplify right side
   14,648x = 1,195,154,041
5. Step 5: Solve for x
   x = 1,195,154,041/14,648
6. Step 6: Final answer
   x = 81,591.62