Finding the Third Proportional to 37,036 and 80,224

Step by Step Solution

1. Step 1: Write the proportion equation
   37,036 : 80,224 = 80,224 : x
2. Step 2: Convert to fraction form
   37,036/80,224 = 80,224/x
3. Step 3: Cross multiply
   37,036x = 80,224 × 80,224
4. Step 4: Simplify right side
   37,036x = 6,435,890,176
5. Step 5: Solve for x
   x = 6,435,890,176/37,036
6. Step 6: Final answer
   x = 173,773.90