Finding the Third Proportional to 37,594.50 and 82,577.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594.50 : 82,577.25 = 82,577.25 : x
2. Step 2: Convert to fraction form
   37,594.50/82,577.25 = 82,577.25/x
3. Step 3: Cross multiply
   37,594.50x = 82,577.25 × 82,577.25
4. Step 4: Simplify right side
   37,594.50x = 6,819,002,217.56
5. Step 5: Solve for x
   x = 6,819,002,217.56/37,594.50
6. Step 6: Final answer
   x = 181,382.97