Finding the Third Proportional to 16,448 and 37,544

Step by Step Solution

1. Step 1: Write the proportion equation
   16,448 : 37,544 = 37,544 : x
2. Step 2: Convert to fraction form
   16,448/37,544 = 37,544/x
3. Step 3: Cross multiply
   16,448x = 37,544 × 37,544
4. Step 4: Simplify right side
   16,448x = 1,409,551,936
5. Step 5: Solve for x
   x = 1,409,551,936/16,448
6. Step 6: Final answer
   x = 85,697.47