Finding the Third Proportional to 37,810.50 and 82,857

Step by Step Solution

1. Step 1: Write the proportion equation
   37,810.50 : 82,857 = 82,857 : x
2. Step 2: Convert to fraction form
   37,810.50/82,857 = 82,857/x
3. Step 3: Cross multiply
   37,810.50x = 82,857 × 82,857
4. Step 4: Simplify right side
   37,810.50x = 6,865,282,449
5. Step 5: Solve for x
   x = 6,865,282,449/37,810.50
6. Step 6: Final answer
   x = 181,570.79