Finding the Third Proportional to 25,267 and 59,537

Step by Step Solution

1. Step 1: Write the proportion equation
   25,267 : 59,537 = 59,537 : x
2. Step 2: Convert to fraction form
   25,267/59,537 = 59,537/x
3. Step 3: Cross multiply
   25,267x = 59,537 × 59,537
4. Step 4: Simplify right side
   25,267x = 3,544,654,369
5. Step 5: Solve for x
   x = 3,544,654,369/25,267
6. Step 6: Final answer
   x = 140,287.90