Finding the Third Proportional to 37,603.50 and 83,612

Step by Step Solution

1. Step 1: Write the proportion equation
   37,603.50 : 83,612 = 83,612 : x
2. Step 2: Convert to fraction form
   37,603.50/83,612 = 83,612/x
3. Step 3: Cross multiply
   37,603.50x = 83,612 × 83,612
4. Step 4: Simplify right side
   37,603.50x = 6,990,966,544
5. Step 5: Solve for x
   x = 6,990,966,544/37,603.50
6. Step 6: Final answer
   x = 185,912.66