Finding the Third Proportional to 37,660 and 55,447

Step by Step Solution

1. Step 1: Write the proportion equation
   37,660 : 55,447 = 55,447 : x
2. Step 2: Convert to fraction form
   37,660/55,447 = 55,447/x
3. Step 3: Cross multiply
   37,660x = 55,447 × 55,447
4. Step 4: Simplify right side
   37,660x = 3,074,369,809
5. Step 5: Solve for x
   x = 3,074,369,809/37,660
6. Step 6: Final answer
   x = 81,634.89