Finding the Third Proportional to 19,920 and 30,584

Step by Step Solution

1. Step 1: Write the proportion equation
   19,920 : 30,584 = 30,584 : x
2. Step 2: Convert to fraction form
   19,920/30,584 = 30,584/x
3. Step 3: Cross multiply
   19,920x = 30,584 × 30,584
4. Step 4: Simplify right side
   19,920x = 935,381,056
5. Step 5: Solve for x
   x = 935,381,056/19,920
6. Step 6: Final answer
   x = 46,956.88