Finding the Third Proportional to 12,584 and 17,094

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 17,094 = 17,094 : x
2. Step 2: Convert to fraction form
   12,584/17,094 = 17,094/x
3. Step 3: Cross multiply
   12,584x = 17,094 × 17,094
4. Step 4: Simplify right side
   12,584x = 292,204,836
5. Step 5: Solve for x
   x = 292,204,836/12,584
6. Step 6: Final answer
   x = 23,220.35