Finding the Third Proportional to 37,861 and 59,401

Step by Step Solution

1. Step 1: Write the proportion equation
   37,861 : 59,401 = 59,401 : x
2. Step 2: Convert to fraction form
   37,861/59,401 = 59,401/x
3. Step 3: Cross multiply
   37,861x = 59,401 × 59,401
4. Step 4: Simplify right side
   37,861x = 3,528,478,801
5. Step 5: Solve for x
   x = 3,528,478,801/37,861
6. Step 6: Final answer
   x = 93,195.61