Finding the Third Proportional to 37,010 and 81,401

Step by Step Solution

1. Step 1: Write the proportion equation
   37,010 : 81,401 = 81,401 : x
2. Step 2: Convert to fraction form
   37,010/81,401 = 81,401/x
3. Step 3: Cross multiply
   37,010x = 81,401 × 81,401
4. Step 4: Simplify right side
   37,010x = 6,626,122,801
5. Step 5: Solve for x
   x = 6,626,122,801/37,010
6. Step 6: Final answer
   x = 179,036.01