Finding the Third Proportional to 37,109 and 51,910

Step by Step Solution

1. Step 1: Write the proportion equation
   37,109 : 51,910 = 51,910 : x
2. Step 2: Convert to fraction form
   37,109/51,910 = 51,910/x
3. Step 3: Cross multiply
   37,109x = 51,910 × 51,910
4. Step 4: Simplify right side
   37,109x = 2,694,648,100
5. Step 5: Solve for x
   x = 2,694,648,100/37,109
6. Step 6: Final answer
   x = 72,614.41