Finding the Third Proportional to 37,726 and 82,708

Step by Step Solution

1. Step 1: Write the proportion equation
   37,726 : 82,708 = 82,708 : x
2. Step 2: Convert to fraction form
   37,726/82,708 = 82,708/x
3. Step 3: Cross multiply
   37,726x = 82,708 × 82,708
4. Step 4: Simplify right side
   37,726x = 6,840,613,264
5. Step 5: Solve for x
   x = 6,840,613,264/37,726
6. Step 6: Final answer
   x = 181,323.58