Finding the Third Proportional to 32,826 and 70,324

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 70,324 = 70,324 : x
2. Step 2: Convert to fraction form
   32,826/70,324 = 70,324/x
3. Step 3: Cross multiply
   32,826x = 70,324 × 70,324
4. Step 4: Simplify right side
   32,826x = 4,945,464,976
5. Step 5: Solve for x
   x = 4,945,464,976/32,826
6. Step 6: Final answer
   x = 150,656.95