Finding the Third Proportional to 23,010 and 53,766

Step by Step Solution

1. Step 1: Write the proportion equation
   23,010 : 53,766 = 53,766 : x
2. Step 2: Convert to fraction form
   23,010/53,766 = 53,766/x
3. Step 3: Cross multiply
   23,010x = 53,766 × 53,766
4. Step 4: Simplify right side
   23,010x = 2,890,782,756
5. Step 5: Solve for x
   x = 2,890,782,756/23,010
6. Step 6: Final answer
   x = 125,631.58