Finding the Third Proportional to 37,010 and 80,338

Step by Step Solution

1. Step 1: Write the proportion equation
   37,010 : 80,338 = 80,338 : x
2. Step 2: Convert to fraction form
   37,010/80,338 = 80,338/x
3. Step 3: Cross multiply
   37,010x = 80,338 × 80,338
4. Step 4: Simplify right side
   37,010x = 6,454,194,244
5. Step 5: Solve for x
   x = 6,454,194,244/37,010
6. Step 6: Final answer
   x = 174,390.55