Finding the Third Proportional to 25,296 and 53,250

Step by Step Solution

1. Step 1: Write the proportion equation
   25,296 : 53,250 = 53,250 : x
2. Step 2: Convert to fraction form
   25,296/53,250 = 53,250/x
3. Step 3: Cross multiply
   25,296x = 53,250 × 53,250
4. Step 4: Simplify right side
   25,296x = 2,835,562,500
5. Step 5: Solve for x
   x = 2,835,562,500/25,296
6. Step 6: Final answer
   x = 112,095.29