Finding the Third Proportional to 37,328 and 78,944

Step by Step Solution

1. Step 1: Write the proportion equation
   37,328 : 78,944 = 78,944 : x
2. Step 2: Convert to fraction form
   37,328/78,944 = 78,944/x
3. Step 3: Cross multiply
   37,328x = 78,944 × 78,944
4. Step 4: Simplify right side
   37,328x = 6,232,155,136
5. Step 5: Solve for x
   x = 6,232,155,136/37,328
6. Step 6: Final answer
   x = 166,956.58