Finding the Third Proportional to 37,874 and 59,283

Step by Step Solution

1. Step 1: Write the proportion equation
   37,874 : 59,283 = 59,283 : x
2. Step 2: Convert to fraction form
   37,874/59,283 = 59,283/x
3. Step 3: Cross multiply
   37,874x = 59,283 × 59,283
4. Step 4: Simplify right side
   37,874x = 3,514,474,089
5. Step 5: Solve for x
   x = 3,514,474,089/37,874
6. Step 6: Final answer
   x = 92,793.85