Finding the Third Proportional to 37,759.50 and 82,071

Step by Step Solution

1. Step 1: Write the proportion equation
   37,759.50 : 82,071 = 82,071 : x
2. Step 2: Convert to fraction form
   37,759.50/82,071 = 82,071/x
3. Step 3: Cross multiply
   37,759.50x = 82,071 × 82,071
4. Step 4: Simplify right side
   37,759.50x = 6,735,649,041
5. Step 5: Solve for x
   x = 6,735,649,041/37,759.50
6. Step 6: Final answer
   x = 178,382.90