Finding the Third Proportional to 25,894 and 56,666

Step by Step Solution

1. Step 1: Write the proportion equation
   25,894 : 56,666 = 56,666 : x
2. Step 2: Convert to fraction form
   25,894/56,666 = 56,666/x
3. Step 3: Cross multiply
   25,894x = 56,666 × 56,666
4. Step 4: Simplify right side
   25,894x = 3,211,035,556
5. Step 5: Solve for x
   x = 3,211,035,556/25,894
6. Step 6: Final answer
   x = 124,006.93