Finding the Third Proportional to 15,684 and 34,584

Step by Step Solution

1. Step 1: Write the proportion equation
   15,684 : 34,584 = 34,584 : x
2. Step 2: Convert to fraction form
   15,684/34,584 = 34,584/x
3. Step 3: Cross multiply
   15,684x = 34,584 × 34,584
4. Step 4: Simplify right side
   15,684x = 1,196,053,056
5. Step 5: Solve for x
   x = 1,196,053,056/15,684
6. Step 6: Final answer
   x = 76,259.44