Finding the Third Proportional to 11,534 and 25,093

Step by Step Solution

1. Step 1: Write the proportion equation
   11,534 : 25,093 = 25,093 : x
2. Step 2: Convert to fraction form
   11,534/25,093 = 25,093/x
3. Step 3: Cross multiply
   11,534x = 25,093 × 25,093
4. Step 4: Simplify right side
   11,534x = 629,658,649
5. Step 5: Solve for x
   x = 629,658,649/11,534
6. Step 6: Final answer
   x = 54,591.52