Finding the Third Proportional to 37,703 and 82,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,703 : 82,857.50 = 82,857.50 : x
2. Step 2: Convert to fraction form
   37,703/82,857.50 = 82,857.50/x
3. Step 3: Cross multiply
   37,703x = 82,857.50 × 82,857.50
4. Step 4: Simplify right side
   37,703x = 6,865,365,306.25
5. Step 5: Solve for x
   x = 6,865,365,306.25/37,703
6. Step 6: Final answer
   x = 182,090.69