Finding the Third Proportional to 34,666 and 55,811

Step by Step Solution

1. Step 1: Write the proportion equation
   34,666 : 55,811 = 55,811 : x
2. Step 2: Convert to fraction form
   34,666/55,811 = 55,811/x
3. Step 3: Cross multiply
   34,666x = 55,811 × 55,811
4. Step 4: Simplify right side
   34,666x = 3,114,867,721
5. Step 5: Solve for x
   x = 3,114,867,721/34,666
6. Step 6: Final answer
   x = 89,853.68