Finding the Third Proportional to 32,826 and 71,943

Step by Step Solution

1. Step 1: Write the proportion equation
   32,826 : 71,943 = 71,943 : x
2. Step 2: Convert to fraction form
   32,826/71,943 = 71,943/x
3. Step 3: Cross multiply
   32,826x = 71,943 × 71,943
4. Step 4: Simplify right side
   32,826x = 5,175,795,249
5. Step 5: Solve for x
   x = 5,175,795,249/32,826
6. Step 6: Final answer
   x = 157,673.65