Finding the Third Proportional to 37,401 and 57,186

Step by Step Solution

1. Step 1: Write the proportion equation
   37,401 : 57,186 = 57,186 : x
2. Step 2: Convert to fraction form
   37,401/57,186 = 57,186/x
3. Step 3: Cross multiply
   37,401x = 57,186 × 57,186
4. Step 4: Simplify right side
   37,401x = 3,270,238,596
5. Step 5: Solve for x
   x = 3,270,238,596/37,401
6. Step 6: Final answer
   x = 87,437.20