Finding the Third Proportional to 13,002 and 19,875

Step by Step Solution

1. Step 1: Write the proportion equation
   13,002 : 19,875 = 19,875 : x
2. Step 2: Convert to fraction form
   13,002/19,875 = 19,875/x
3. Step 3: Cross multiply
   13,002x = 19,875 × 19,875
4. Step 4: Simplify right side
   13,002x = 395,015,625
5. Step 5: Solve for x
   x = 395,015,625/13,002
6. Step 6: Final answer
   x = 30,381.14