Finding the Third Proportional to 42,778 and 57,607

Step by Step Solution

1. Step 1: Write the proportion equation
   42,778 : 57,607 = 57,607 : x
2. Step 2: Convert to fraction form
   42,778/57,607 = 57,607/x
3. Step 3: Cross multiply
   42,778x = 57,607 × 57,607
4. Step 4: Simplify right side
   42,778x = 3,318,566,449
5. Step 5: Solve for x
   x = 3,318,566,449/42,778
6. Step 6: Final answer
   x = 77,576.48