Finding the Third Proportional to 37,288 and 82,864

Step by Step Solution

1. Step 1: Write the proportion equation
   37,288 : 82,864 = 82,864 : x
2. Step 2: Convert to fraction form
   37,288/82,864 = 82,864/x
3. Step 3: Cross multiply
   37,288x = 82,864 × 82,864
4. Step 4: Simplify right side
   37,288x = 6,866,442,496
5. Step 5: Solve for x
   x = 6,866,442,496/37,288
6. Step 6: Final answer
   x = 184,146.17