Finding the Third Proportional to 6,152 and 12,538

Step by Step Solution

1. Step 1: Write the proportion equation
   6,152 : 12,538 = 12,538 : x
2. Step 2: Convert to fraction form
   6,152/12,538 = 12,538/x
3. Step 3: Cross multiply
   6,152x = 12,538 × 12,538
4. Step 4: Simplify right side
   6,152x = 157,201,444
5. Step 5: Solve for x
   x = 157,201,444/6,152
6. Step 6: Final answer
   x = 25,552.90