Finding the Third Proportional to 37,376 and 57,911

Step by Step Solution

1. Step 1: Write the proportion equation
   37,376 : 57,911 = 57,911 : x
2. Step 2: Convert to fraction form
   37,376/57,911 = 57,911/x
3. Step 3: Cross multiply
   37,376x = 57,911 × 57,911
4. Step 4: Simplify right side
   37,376x = 3,353,683,921
5. Step 5: Solve for x
   x = 3,353,683,921/37,376
6. Step 6: Final answer
   x = 89,728.27