Finding the Third Proportional to 11,580 and 25,320

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 25,320 = 25,320 : x
2. Step 2: Convert to fraction form
   11,580/25,320 = 25,320/x
3. Step 3: Cross multiply
   11,580x = 25,320 × 25,320
4. Step 4: Simplify right side
   11,580x = 641,102,400
5. Step 5: Solve for x
   x = 641,102,400/11,580
6. Step 6: Final answer
   x = 55,362.90