Finding the Third Proportional to 37,664 and 55,344

Step by Step Solution

1. Step 1: Write the proportion equation
   37,664 : 55,344 = 55,344 : x
2. Step 2: Convert to fraction form
   37,664/55,344 = 55,344/x
3. Step 3: Cross multiply
   37,664x = 55,344 × 55,344
4. Step 4: Simplify right side
   37,664x = 3,062,958,336
5. Step 5: Solve for x
   x = 3,062,958,336/37,664
6. Step 6: Final answer
   x = 81,323.24