Finding the Third Proportional to 19,734 and 40,584

Step by Step Solution

1. Step 1: Write the proportion equation
   19,734 : 40,584 = 40,584 : x
2. Step 2: Convert to fraction form
   19,734/40,584 = 40,584/x
3. Step 3: Cross multiply
   19,734x = 40,584 × 40,584
4. Step 4: Simplify right side
   19,734x = 1,647,061,056
5. Step 5: Solve for x
   x = 1,647,061,056/19,734
6. Step 6: Final answer
   x = 83,463.11