Finding the Third Proportional to 37,896 and 56,844

Step by Step Solution

1. Step 1: Write the proportion equation
   37,896 : 56,844 = 56,844 : x
2. Step 2: Convert to fraction form
   37,896/56,844 = 56,844/x
3. Step 3: Cross multiply
   37,896x = 56,844 × 56,844
4. Step 4: Simplify right side
   37,896x = 3,231,240,336
5. Step 5: Solve for x
   x = 3,231,240,336/37,896
6. Step 6: Final answer
   x = 85,266