Finding the Third Proportional to 38,857.50 and 83,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,857.50 : 83,227.75 = 83,227.75 : x
2. Step 2: Convert to fraction form
   38,857.50/83,227.75 = 83,227.75/x
3. Step 3: Cross multiply
   38,857.50x = 83,227.75 × 83,227.75
4. Step 4: Simplify right side
   38,857.50x = 6,926,858,370.06
5. Step 5: Solve for x
   x = 6,926,858,370.06/38,857.50
6. Step 6: Final answer
   x = 178,263.10