Finding the Third Proportional to 42,780 and 57,610

Step by Step Solution

1. Step 1: Write the proportion equation
   42,780 : 57,610 = 57,610 : x
2. Step 2: Convert to fraction form
   42,780/57,610 = 57,610/x
3. Step 3: Cross multiply
   42,780x = 57,610 × 57,610
4. Step 4: Simplify right side
   42,780x = 3,318,912,100
5. Step 5: Solve for x
   x = 3,318,912,100/42,780
6. Step 6: Final answer
   x = 77,580.93