Finding the Third Proportional to 19,680 and 30,510

Step by Step Solution

1. Step 1: Write the proportion equation
   19,680 : 30,510 = 30,510 : x
2. Step 2: Convert to fraction form
   19,680/30,510 = 30,510/x
3. Step 3: Cross multiply
   19,680x = 30,510 × 30,510
4. Step 4: Simplify right side
   19,680x = 930,860,100
5. Step 5: Solve for x
   x = 930,860,100/19,680
6. Step 6: Final answer
   x = 47,299.80