Finding the Third Proportional to 34,874 and 71,584

Step by Step Solution

1. Step 1: Write the proportion equation
   34,874 : 71,584 = 71,584 : x
2. Step 2: Convert to fraction form
   34,874/71,584 = 71,584/x
3. Step 3: Cross multiply
   34,874x = 71,584 × 71,584
4. Step 4: Simplify right side
   34,874x = 5,124,269,056
5. Step 5: Solve for x
   x = 5,124,269,056/34,874
6. Step 6: Final answer
   x = 146,936.66