Finding the Third Proportional to 34,666 and 55,823

Step by Step Solution

1. Step 1: Write the proportion equation
   34,666 : 55,823 = 55,823 : x
2. Step 2: Convert to fraction form
   34,666/55,823 = 55,823/x
3. Step 3: Cross multiply
   34,666x = 55,823 × 55,823
4. Step 4: Simplify right side
   34,666x = 3,116,207,329
5. Step 5: Solve for x
   x = 3,116,207,329/34,666
6. Step 6: Final answer
   x = 89,892.32