Finding the Third Proportional to 34,873 and 71,582

Step by Step Solution

1. Step 1: Write the proportion equation
   34,873 : 71,582 = 71,582 : x
2. Step 2: Convert to fraction form
   34,873/71,582 = 71,582/x
3. Step 3: Cross multiply
   34,873x = 71,582 × 71,582
4. Step 4: Simplify right side
   34,873x = 5,123,982,724
5. Step 5: Solve for x
   x = 5,123,982,724/34,873
6. Step 6: Final answer
   x = 146,932.66