Finding the Third Proportional to 13,132 and 30,678

Step by Step Solution

1. Step 1: Write the proportion equation
   13,132 : 30,678 = 30,678 : x
2. Step 2: Convert to fraction form
   13,132/30,678 = 30,678/x
3. Step 3: Cross multiply
   13,132x = 30,678 × 30,678
4. Step 4: Simplify right side
   13,132x = 941,139,684
5. Step 5: Solve for x
   x = 941,139,684/13,132
6. Step 6: Final answer
   x = 71,667.66