Finding the Third Proportional to 34,828 and 71,512

Step by Step Solution

1. Step 1: Write the proportion equation
   34,828 : 71,512 = 71,512 : x
2. Step 2: Convert to fraction form
   34,828/71,512 = 71,512/x
3. Step 3: Cross multiply
   34,828x = 71,512 × 71,512
4. Step 4: Simplify right side
   34,828x = 5,113,966,144
5. Step 5: Solve for x
   x = 5,113,966,144/34,828
6. Step 6: Final answer
   x = 146,834.91