Finding the Third Proportional to 37,384 and 57,944

Step by Step Solution

1. Step 1: Write the proportion equation
   37,384 : 57,944 = 57,944 : x
2. Step 2: Convert to fraction form
   37,384/57,944 = 57,944/x
3. Step 3: Cross multiply
   37,384x = 57,944 × 57,944
4. Step 4: Simplify right side
   37,384x = 3,357,507,136
5. Step 5: Solve for x
   x = 3,357,507,136/37,384
6. Step 6: Final answer
   x = 89,811.34