Finding the Third Proportional to 37,968 and 56,644

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 56,644 = 56,644 : x
2. Step 2: Convert to fraction form
   37,968/56,644 = 56,644/x
3. Step 3: Cross multiply
   37,968x = 56,644 × 56,644
4. Step 4: Simplify right side
   37,968x = 3,208,542,736
5. Step 5: Solve for x
   x = 3,208,542,736/37,968
6. Step 6: Final answer
   x = 84,506.50