Finding the Third Proportional to 37,601.75 and 83,608.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,601.75 : 83,608.75 = 83,608.75 : x
2. Step 2: Convert to fraction form
   37,601.75/83,608.75 = 83,608.75/x
3. Step 3: Cross multiply
   37,601.75x = 83,608.75 × 83,608.75
4. Step 4: Simplify right side
   37,601.75x = 6,990,423,076.56
5. Step 5: Solve for x
   x = 6,990,423,076.56/37,601.75
6. Step 6: Final answer
   x = 185,906.85