Finding the Third Proportional to 10,032 and 19,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,032 : 19,584 = 19,584 : x
2. Step 2: Convert to fraction form
   10,032/19,584 = 19,584/x
3. Step 3: Cross multiply
   10,032x = 19,584 × 19,584
4. Step 4: Simplify right side
   10,032x = 383,533,056
5. Step 5: Solve for x
   x = 383,533,056/10,032
6. Step 6: Final answer
   x = 38,230.97