Finding the Third Proportional to 37,778 and 56,757

Step by Step Solution

1. Step 1: Write the proportion equation
   37,778 : 56,757 = 56,757 : x
2. Step 2: Convert to fraction form
   37,778/56,757 = 56,757/x
3. Step 3: Cross multiply
   37,778x = 56,757 × 56,757
4. Step 4: Simplify right side
   37,778x = 3,221,357,049
5. Step 5: Solve for x
   x = 3,221,357,049/37,778
6. Step 6: Final answer
   x = 85,270.71