Finding the Third Proportional to 32,698 and 70,582

Step by Step Solution

1. Step 1: Write the proportion equation
   32,698 : 70,582 = 70,582 : x
2. Step 2: Convert to fraction form
   32,698/70,582 = 70,582/x
3. Step 3: Cross multiply
   32,698x = 70,582 × 70,582
4. Step 4: Simplify right side
   32,698x = 4,981,818,724
5. Step 5: Solve for x
   x = 4,981,818,724/32,698
6. Step 6: Final answer
   x = 152,358.52