Finding the Third Proportional to 25,661 and 53,362

Step by Step Solution

1. Step 1: Write the proportion equation
   25,661 : 53,362 = 53,362 : x
2. Step 2: Convert to fraction form
   25,661/53,362 = 53,362/x
3. Step 3: Cross multiply
   25,661x = 53,362 × 53,362
4. Step 4: Simplify right side
   25,661x = 2,847,503,044
5. Step 5: Solve for x
   x = 2,847,503,044/25,661
6. Step 6: Final answer
   x = 110,966.18