Finding the Third Proportional to 37,011 and 81,404

Step by Step Solution

1. Step 1: Write the proportion equation
   37,011 : 81,404 = 81,404 : x
2. Step 2: Convert to fraction form
   37,011/81,404 = 81,404/x
3. Step 3: Cross multiply
   37,011x = 81,404 × 81,404
4. Step 4: Simplify right side
   37,011x = 6,626,611,216
5. Step 5: Solve for x
   x = 6,626,611,216/37,011
6. Step 6: Final answer
   x = 179,044.37