Finding the Third Proportional to 37,586 and 87,401

Step by Step Solution

1. Step 1: Write the proportion equation
   37,586 : 87,401 = 87,401 : x
2. Step 2: Convert to fraction form
   37,586/87,401 = 87,401/x
3. Step 3: Cross multiply
   37,586x = 87,401 × 87,401
4. Step 4: Simplify right side
   37,586x = 7,638,934,801
5. Step 5: Solve for x
   x = 7,638,934,801/37,586
6. Step 6: Final answer
   x = 203,238.83