Finding the Third Proportional to 37,018.50 and 81,420

Step by Step Solution

1. Step 1: Write the proportion equation
   37,018.50 : 81,420 = 81,420 : x
2. Step 2: Convert to fraction form
   37,018.50/81,420 = 81,420/x
3. Step 3: Cross multiply
   37,018.50x = 81,420 × 81,420
4. Step 4: Simplify right side
   37,018.50x = 6,629,216,400
5. Step 5: Solve for x
   x = 6,629,216,400/37,018.50
6. Step 6: Final answer
   x = 179,078.47