Finding the Third Proportional to 19,524 and 42,584

Step by Step Solution

1. Step 1: Write the proportion equation
   19,524 : 42,584 = 42,584 : x
2. Step 2: Convert to fraction form
   19,524/42,584 = 42,584/x
3. Step 3: Cross multiply
   19,524x = 42,584 × 42,584
4. Step 4: Simplify right side
   19,524x = 1,813,397,056
5. Step 5: Solve for x
   x = 1,813,397,056/19,524
6. Step 6: Final answer
   x = 92,880.41