Finding the Third Proportional to 37,960 and 83,186

Step by Step Solution

1. Step 1: Write the proportion equation
   37,960 : 83,186 = 83,186 : x
2. Step 2: Convert to fraction form
   37,960/83,186 = 83,186/x
3. Step 3: Cross multiply
   37,960x = 83,186 × 83,186
4. Step 4: Simplify right side
   37,960x = 6,919,910,596
5. Step 5: Solve for x
   x = 6,919,910,596/37,960
6. Step 6: Final answer
   x = 182,294.80