Finding the Third Proportional to 37,890 and 56,834

Step by Step Solution

1. Step 1: Write the proportion equation
   37,890 : 56,834 = 56,834 : x
2. Step 2: Convert to fraction form
   37,890/56,834 = 56,834/x
3. Step 3: Cross multiply
   37,890x = 56,834 × 56,834
4. Step 4: Simplify right side
   37,890x = 3,230,103,556
5. Step 5: Solve for x
   x = 3,230,103,556/37,890
6. Step 6: Final answer
   x = 85,249.50