Finding the Third Proportional to 25,096 and 53,000

Step by Step Solution

1. Step 1: Write the proportion equation
   25,096 : 53,000 = 53,000 : x
2. Step 2: Convert to fraction form
   25,096/53,000 = 53,000/x
3. Step 3: Cross multiply
   25,096x = 53,000 × 53,000
4. Step 4: Simplify right side
   25,096x = 2,809,000,000
5. Step 5: Solve for x
   x = 2,809,000,000/25,096
6. Step 6: Final answer
   x = 111,930.19