Finding the Third Proportional to 13,380 and 30,984

Step by Step Solution

1. Step 1: Write the proportion equation
   13,380 : 30,984 = 30,984 : x
2. Step 2: Convert to fraction form
   13,380/30,984 = 30,984/x
3. Step 3: Cross multiply
   13,380x = 30,984 × 30,984
4. Step 4: Simplify right side
   13,380x = 960,008,256
5. Step 5: Solve for x
   x = 960,008,256/13,380
6. Step 6: Final answer
   x = 71,749.50