Finding the Third Proportional to 25,778 and 56,537

Step by Step Solution

1. Step 1: Write the proportion equation
   25,778 : 56,537 = 56,537 : x
2. Step 2: Convert to fraction form
   25,778/56,537 = 56,537/x
3. Step 3: Cross multiply
   25,778x = 56,537 × 56,537
4. Step 4: Simplify right side
   25,778x = 3,196,432,369
5. Step 5: Solve for x
   x = 3,196,432,369/25,778
6. Step 6: Final answer
   x = 123,998.46