Finding the Third Proportional to 37,613.25 and 82,607.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,613.25 : 82,607.25 = 82,607.25 : x
2. Step 2: Convert to fraction form
   37,613.25/82,607.25 = 82,607.25/x
3. Step 3: Cross multiply
   37,613.25x = 82,607.25 × 82,607.25
4. Step 4: Simplify right side
   37,613.25x = 6,823,957,752.56
5. Step 5: Solve for x
   x = 6,823,957,752.56/37,613.25
6. Step 6: Final answer
   x = 181,424.31