Finding the Third Proportional to 37,823.75 and 82,301.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,823.75 : 82,301.38 = 82,301.38 : x
2. Step 2: Convert to fraction form
   37,823.75/82,301.38 = 82,301.38/x
3. Step 3: Cross multiply
   37,823.75x = 82,301.38 × 82,301.38
4. Step 4: Simplify right side
   37,823.75x = 6,773,516,326.89
5. Step 5: Solve for x
   x = 6,773,516,326.89/37,823.75
6. Step 6: Final answer
   x = 179,081.04