Finding the Third Proportional to 11,550 and 25,294

Step by Step Solution

1. Step 1: Write the proportion equation
   11,550 : 25,294 = 25,294 : x
2. Step 2: Convert to fraction form
   11,550/25,294 = 25,294/x
3. Step 3: Cross multiply
   11,550x = 25,294 × 25,294
4. Step 4: Simplify right side
   11,550x = 639,786,436
5. Step 5: Solve for x
   x = 639,786,436/11,550
6. Step 6: Final answer
   x = 55,392.77