Finding the Third Proportional to 25,666 and 55,716

Step by Step Solution

1. Step 1: Write the proportion equation
   25,666 : 55,716 = 55,716 : x
2. Step 2: Convert to fraction form
   25,666/55,716 = 55,716/x
3. Step 3: Cross multiply
   25,666x = 55,716 × 55,716
4. Step 4: Simplify right side
   25,666x = 3,104,272,656
5. Step 5: Solve for x
   x = 3,104,272,656/25,666
6. Step 6: Final answer
   x = 120,948.83