Finding the Third Proportional to 37,038 and 51,849

Step by Step Solution

1. Step 1: Write the proportion equation
   37,038 : 51,849 = 51,849 : x
2. Step 2: Convert to fraction form
   37,038/51,849 = 51,849/x
3. Step 3: Cross multiply
   37,038x = 51,849 × 51,849
4. Step 4: Simplify right side
   37,038x = 2,688,318,801
5. Step 5: Solve for x
   x = 2,688,318,801/37,038
6. Step 6: Final answer
   x = 72,582.72