Finding the Third Proportional to 37,228 and 51,738

Step by Step Solution

1. Step 1: Write the proportion equation
   37,228 : 51,738 = 51,738 : x
2. Step 2: Convert to fraction form
   37,228/51,738 = 51,738/x
3. Step 3: Cross multiply
   37,228x = 51,738 × 51,738
4. Step 4: Simplify right side
   37,228x = 2,676,820,644
5. Step 5: Solve for x
   x = 2,676,820,644/37,228
6. Step 6: Final answer
   x = 71,903.42