Finding the Third Proportional to 19,584 and 42,084

Step by Step Solution

1. Step 1: Write the proportion equation
   19,584 : 42,084 = 42,084 : x
2. Step 2: Convert to fraction form
   19,584/42,084 = 42,084/x
3. Step 3: Cross multiply
   19,584x = 42,084 × 42,084
4. Step 4: Simplify right side
   19,584x = 1,771,063,056
5. Step 5: Solve for x
   x = 1,771,063,056/19,584
6. Step 6: Final answer
   x = 90,434.18