Finding the Third Proportional to 8,032 and 12,354

Step by Step Solution

1. Step 1: Write the proportion equation
   8,032 : 12,354 = 12,354 : x
2. Step 2: Convert to fraction form
   8,032/12,354 = 12,354/x
3. Step 3: Cross multiply
   8,032x = 12,354 × 12,354
4. Step 4: Simplify right side
   8,032x = 152,621,316
5. Step 5: Solve for x
   x = 152,621,316/8,032
6. Step 6: Final answer
   x = 19,001.66