Finding the Third Proportional to 35,878 and 73,216

Step by Step Solution

1. Step 1: Write the proportion equation
   35,878 : 73,216 = 73,216 : x
2. Step 2: Convert to fraction form
   35,878/73,216 = 73,216/x
3. Step 3: Cross multiply
   35,878x = 73,216 × 73,216
4. Step 4: Simplify right side
   35,878x = 5,360,582,656
5. Step 5: Solve for x
   x = 5,360,582,656/35,878
6. Step 6: Final answer
   x = 149,411.41