Finding the Third Proportional to 35,996 and 54,492

Step by Step Solution

1. Step 1: Write the proportion equation
   35,996 : 54,492 = 54,492 : x
2. Step 2: Convert to fraction form
   35,996/54,492 = 54,492/x
3. Step 3: Cross multiply
   35,996x = 54,492 × 54,492
4. Step 4: Simplify right side
   35,996x = 2,969,378,064
5. Step 5: Solve for x
   x = 2,969,378,064/35,996
6. Step 6: Final answer
   x = 82,491.89