Finding the Third Proportional to 37,601 and 80,944

Step by Step Solution

1. Step 1: Write the proportion equation
   37,601 : 80,944 = 80,944 : x
2. Step 2: Convert to fraction form
   37,601/80,944 = 80,944/x
3. Step 3: Cross multiply
   37,601x = 80,944 × 80,944
4. Step 4: Simplify right side
   37,601x = 6,551,931,136
5. Step 5: Solve for x
   x = 6,551,931,136/37,601
6. Step 6: Final answer
   x = 174,248.85