Finding the Third Proportional to 37,010 and 80,503

Step by Step Solution

1. Step 1: Write the proportion equation
   37,010 : 80,503 = 80,503 : x
2. Step 2: Convert to fraction form
   37,010/80,503 = 80,503/x
3. Step 3: Cross multiply
   37,010x = 80,503 × 80,503
4. Step 4: Simplify right side
   37,010x = 6,480,733,009
5. Step 5: Solve for x
   x = 6,480,733,009/37,010
6. Step 6: Final answer
   x = 175,107.62