Finding the Third Proportional to 37,112 and 80,056

Step by Step Solution

1. Step 1: Write the proportion equation
   37,112 : 80,056 = 80,056 : x
2. Step 2: Convert to fraction form
   37,112/80,056 = 80,056/x
3. Step 3: Cross multiply
   37,112x = 80,056 × 80,056
4. Step 4: Simplify right side
   37,112x = 6,408,963,136
5. Step 5: Solve for x
   x = 6,408,963,136/37,112
6. Step 6: Final answer
   x = 172,692.48