Finding the Third Proportional to 51,615 and 105,871

Step by Step Solution

1. Step 1: Write the proportion equation
   51,615 : 105,871 = 105,871 : x
2. Step 2: Convert to fraction form
   51,615/105,871 = 105,871/x
3. Step 3: Cross multiply
   51,615x = 105,871 × 105,871
4. Step 4: Simplify right side
   51,615x = 11,208,668,641
5. Step 5: Solve for x
   x = 11,208,668,641/51,615
6. Step 6: Final answer
   x = 217,159.13