Finding the Third Proportional to 37,608.75 and 82,598.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,608.75 : 82,598.25 = 82,598.25 : x
2. Step 2: Convert to fraction form
   37,608.75/82,598.25 = 82,598.25/x
3. Step 3: Cross multiply
   37,608.75x = 82,598.25 × 82,598.25
4. Step 4: Simplify right side
   37,608.75x = 6,822,470,903.06
5. Step 5: Solve for x
   x = 6,822,470,903.06/37,608.75
6. Step 6: Final answer
   x = 181,406.48