Finding the Third Proportional to 13,380 and 30,972

Step by Step Solution

1. Step 1: Write the proportion equation
   13,380 : 30,972 = 30,972 : x
2. Step 2: Convert to fraction form
   13,380/30,972 = 30,972/x
3. Step 3: Cross multiply
   13,380x = 30,972 × 30,972
4. Step 4: Simplify right side
   13,380x = 959,264,784
5. Step 5: Solve for x
   x = 959,264,784/13,380
6. Step 6: Final answer
   x = 71,693.93