Finding the Third Proportional to 19,176 and 31,284

Step by Step Solution

1. Step 1: Write the proportion equation
   19,176 : 31,284 = 31,284 : x
2. Step 2: Convert to fraction form
   19,176/31,284 = 31,284/x
3. Step 3: Cross multiply
   19,176x = 31,284 × 31,284
4. Step 4: Simplify right side
   19,176x = 978,688,656
5. Step 5: Solve for x
   x = 978,688,656/19,176
6. Step 6: Final answer
   x = 51,037.16