Finding the Third Proportional to 12,380 and 25,580

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 25,580 = 25,580 : x
2. Step 2: Convert to fraction form
   12,380/25,580 = 25,580/x
3. Step 3: Cross multiply
   12,380x = 25,580 × 25,580
4. Step 4: Simplify right side
   12,380x = 654,336,400
5. Step 5: Solve for x
   x = 654,336,400/12,380
6. Step 6: Final answer
   x = 52,854.31