Finding the Third Proportional to 49,394 and 70,582

Step by Step Solution

1. Step 1: Write the proportion equation
   49,394 : 70,582 = 70,582 : x
2. Step 2: Convert to fraction form
   49,394/70,582 = 70,582/x
3. Step 3: Cross multiply
   49,394x = 70,582 × 70,582
4. Step 4: Simplify right side
   49,394x = 4,981,818,724
5. Step 5: Solve for x
   x = 4,981,818,724/49,394
6. Step 6: Final answer
   x = 100,858.78