Finding the Third Proportional to 37,536.50 and 82,455.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,536.50 : 82,455.75 = 82,455.75 : x
2. Step 2: Convert to fraction form
   37,536.50/82,455.75 = 82,455.75/x
3. Step 3: Cross multiply
   37,536.50x = 82,455.75 × 82,455.75
4. Step 4: Simplify right side
   37,536.50x = 6,798,950,708.06
5. Step 5: Solve for x
   x = 6,798,950,708.06/37,536.50
6. Step 6: Final answer
   x = 181,129.05