Finding the Third Proportional to 14,582 and 34,271

Step by Step Solution

1. Step 1: Write the proportion equation
   14,582 : 34,271 = 34,271 : x
2. Step 2: Convert to fraction form
   14,582/34,271 = 34,271/x
3. Step 3: Cross multiply
   14,582x = 34,271 × 34,271
4. Step 4: Simplify right side
   14,582x = 1,174,501,441
5. Step 5: Solve for x
   x = 1,174,501,441/14,582
6. Step 6: Final answer
   x = 80,544.61