Finding the Third Proportional to 25,538 and 38,150

Step by Step Solution

1. Step 1: Write the proportion equation
   25,538 : 38,150 = 38,150 : x
2. Step 2: Convert to fraction form
   25,538/38,150 = 38,150/x
3. Step 3: Cross multiply
   25,538x = 38,150 × 38,150
4. Step 4: Simplify right side
   25,538x = 1,455,422,500
5. Step 5: Solve for x
   x = 1,455,422,500/25,538
6. Step 6: Final answer
   x = 56,990.47