Finding the Third Proportional to 25,159 and 52,766

Step by Step Solution

1. Step 1: Write the proportion equation
   25,159 : 52,766 = 52,766 : x
2. Step 2: Convert to fraction form
   25,159/52,766 = 52,766/x
3. Step 3: Cross multiply
   25,159x = 52,766 × 52,766
4. Step 4: Simplify right side
   25,159x = 2,784,250,756
5. Step 5: Solve for x
   x = 2,784,250,756/25,159
6. Step 6: Final answer
   x = 110,666.19