Finding the Third Proportional to 25,852 and 53,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,852 : 53,624 = 53,624 : x
2. Step 2: Convert to fraction form
   25,852/53,624 = 53,624/x
3. Step 3: Cross multiply
   25,852x = 53,624 × 53,624
4. Step 4: Simplify right side
   25,852x = 2,875,533,376
5. Step 5: Solve for x
   x = 2,875,533,376/25,852
6. Step 6: Final answer
   x = 111,230.60