Finding the Third Proportional to 25,256 and 53,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,256 : 53,174.50 = 53,174.50 : x
2. Step 2: Convert to fraction form
   25,256/53,174.50 = 53,174.50/x
3. Step 3: Cross multiply
   25,256x = 53,174.50 × 53,174.50
4. Step 4: Simplify right side
   25,256x = 2,827,527,450.25
5. Step 5: Solve for x
   x = 2,827,527,450.25/25,256
6. Step 6: Final answer
   x = 111,954.68