Finding the Third Proportional to 38,189 and 57,704

Step by Step Solution

1. Step 1: Write the proportion equation
   38,189 : 57,704 = 57,704 : x
2. Step 2: Convert to fraction form
   38,189/57,704 = 57,704/x
3. Step 3: Cross multiply
   38,189x = 57,704 × 57,704
4. Step 4: Simplify right side
   38,189x = 3,329,751,616
5. Step 5: Solve for x
   x = 3,329,751,616/38,189
6. Step 6: Final answer
   x = 87,191.38