Finding the Third Proportional to 37,960 and 57,858

Step by Step Solution

1. Step 1: Write the proportion equation
   37,960 : 57,858 = 57,858 : x
2. Step 2: Convert to fraction form
   37,960/57,858 = 57,858/x
3. Step 3: Cross multiply
   37,960x = 57,858 × 57,858
4. Step 4: Simplify right side
   37,960x = 3,347,548,164
5. Step 5: Solve for x
   x = 3,347,548,164/37,960
6. Step 6: Final answer
   x = 88,186.20