Finding the Third Proportional to 37,874 and 53,105

Step by Step Solution

1. Step 1: Write the proportion equation
   37,874 : 53,105 = 53,105 : x
2. Step 2: Convert to fraction form
   37,874/53,105 = 53,105/x
3. Step 3: Cross multiply
   37,874x = 53,105 × 53,105
4. Step 4: Simplify right side
   37,874x = 2,820,141,025
5. Step 5: Solve for x
   x = 2,820,141,025/37,874
6. Step 6: Final answer
   x = 74,461.13