Finding the Third Proportional to 37,142 and 57,563

Step by Step Solution

1. Step 1: Write the proportion equation
   37,142 : 57,563 = 57,563 : x
2. Step 2: Convert to fraction form
   37,142/57,563 = 57,563/x
3. Step 3: Cross multiply
   37,142x = 57,563 × 57,563
4. Step 4: Simplify right side
   37,142x = 3,313,498,969
5. Step 5: Solve for x
   x = 3,313,498,969/37,142
6. Step 6: Final answer
   x = 89,211.65