Finding the Third Proportional to 13,678 and 32,271

Step by Step Solution

1. Step 1: Write the proportion equation
   13,678 : 32,271 = 32,271 : x
2. Step 2: Convert to fraction form
   13,678/32,271 = 32,271/x
3. Step 3: Cross multiply
   13,678x = 32,271 × 32,271
4. Step 4: Simplify right side
   13,678x = 1,041,417,441
5. Step 5: Solve for x
   x = 1,041,417,441/13,678
6. Step 6: Final answer
   x = 76,138.14