Finding the Third Proportional to 19,380 and 30,002

Step by Step Solution

1. Step 1: Write the proportion equation
   19,380 : 30,002 = 30,002 : x
2. Step 2: Convert to fraction form
   19,380/30,002 = 30,002/x
3. Step 3: Cross multiply
   19,380x = 30,002 × 30,002
4. Step 4: Simplify right side
   19,380x = 900,120,004
5. Step 5: Solve for x
   x = 900,120,004/19,380
6. Step 6: Final answer
   x = 46,445.82