Finding the Third Proportional to 11,598 and 25,380

Step by Step Solution

1. Step 1: Write the proportion equation
   11,598 : 25,380 = 25,380 : x
2. Step 2: Convert to fraction form
   11,598/25,380 = 25,380/x
3. Step 3: Cross multiply
   11,598x = 25,380 × 25,380
4. Step 4: Simplify right side
   11,598x = 644,144,400
5. Step 5: Solve for x
   x = 644,144,400/11,598
6. Step 6: Final answer
   x = 55,539.27