Finding the Third Proportional to 25,807 and 53,274

Step by Step Solution

1. Step 1: Write the proportion equation
   25,807 : 53,274 = 53,274 : x
2. Step 2: Convert to fraction form
   25,807/53,274 = 53,274/x
3. Step 3: Cross multiply
   25,807x = 53,274 × 53,274
4. Step 4: Simplify right side
   25,807x = 2,838,119,076
5. Step 5: Solve for x
   x = 2,838,119,076/25,807
6. Step 6: Final answer
   x = 109,974.78