Finding the Third Proportional to 14,562 and 34,231

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562 : 34,231 = 34,231 : x
2. Step 2: Convert to fraction form
   14,562/34,231 = 34,231/x
3. Step 3: Cross multiply
   14,562x = 34,231 × 34,231
4. Step 4: Simplify right side
   14,562x = 1,171,761,361
5. Step 5: Solve for x
   x = 1,171,761,361/14,562
6. Step 6: Final answer
   x = 80,467.06