Finding the Third Proportional to 35,492 and 55,678

Step by Step Solution

1. Step 1: Write the proportion equation
   35,492 : 55,678 = 55,678 : x
2. Step 2: Convert to fraction form
   35,492/55,678 = 55,678/x
3. Step 3: Cross multiply
   35,492x = 55,678 × 55,678
4. Step 4: Simplify right side
   35,492x = 3,100,039,684
5. Step 5: Solve for x
   x = 3,100,039,684/35,492
6. Step 6: Final answer
   x = 87,344.74