Finding the Third Proportional to 37,378.13 and 82,983.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,378.13 : 82,983.38 = 82,983.38 : x
2. Step 2: Convert to fraction form
   37,378.13/82,983.38 = 82,983.38/x
3. Step 3: Cross multiply
   37,378.13x = 82,983.38 × 82,983.38
4. Step 4: Simplify right side
   37,378.13x = 6,886,240,526.39
5. Step 5: Solve for x
   x = 6,886,240,526.39/37,378.13
6. Step 6: Final answer
   x = 184,231.83