Finding the Third Proportional to 31,109 and 47,844

Step by Step Solution

1. Step 1: Write the proportion equation
   31,109 : 47,844 = 47,844 : x
2. Step 2: Convert to fraction form
   31,109/47,844 = 47,844/x
3. Step 3: Cross multiply
   31,109x = 47,844 × 47,844
4. Step 4: Simplify right side
   31,109x = 2,289,048,336
5. Step 5: Solve for x
   x = 2,289,048,336/31,109
6. Step 6: Final answer
   x = 73,581.55