Finding the Third Proportional to 37,879 and 56,584

Step by Step Solution

1. Step 1: Write the proportion equation
   37,879 : 56,584 = 56,584 : x
2. Step 2: Convert to fraction form
   37,879/56,584 = 56,584/x
3. Step 3: Cross multiply
   37,879x = 56,584 × 56,584
4. Step 4: Simplify right side
   37,879x = 3,201,749,056
5. Step 5: Solve for x
   x = 3,201,749,056/37,879
6. Step 6: Final answer
   x = 84,525.70