Finding the Third Proportional to 37,640.11 and 83,583.98

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640.11 : 83,583.98 = 83,583.98 : x
2. Step 2: Convert to fraction form
   37,640.11/83,583.98 = 83,583.98/x
3. Step 3: Cross multiply
   37,640.11x = 83,583.98 × 83,583.98
4. Step 4: Simplify right side
   37,640.11x = 6,986,282,444.00
5. Step 5: Solve for x
   x = 6,986,282,444.00/37,640.11
6. Step 6: Final answer
   x = 185,607.39