Finding the Third Proportional to 37,320.75 and 82,979.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,320.75 : 82,979.25 = 82,979.25 : x
2. Step 2: Convert to fraction form
   37,320.75/82,979.25 = 82,979.25/x
3. Step 3: Cross multiply
   37,320.75x = 82,979.25 × 82,979.25
4. Step 4: Simplify right side
   37,320.75x = 6,885,555,930.56
5. Step 5: Solve for x
   x = 6,885,555,930.56/37,320.75
6. Step 6: Final answer
   x = 184,496.72