Finding the Third Proportional to 11,527 and 25,262

Step by Step Solution

1. Step 1: Write the proportion equation
   11,527 : 25,262 = 25,262 : x
2. Step 2: Convert to fraction form
   11,527/25,262 = 25,262/x
3. Step 3: Cross multiply
   11,527x = 25,262 × 25,262
4. Step 4: Simplify right side
   11,527x = 638,168,644
5. Step 5: Solve for x
   x = 638,168,644/11,527
6. Step 6: Final answer
   x = 55,362.94