Finding the Third Proportional to 38,162.25 and 83,855.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,162.25 : 83,855.25 = 83,855.25 : x
2. Step 2: Convert to fraction form
   38,162.25/83,855.25 = 83,855.25/x
3. Step 3: Cross multiply
   38,162.25x = 83,855.25 × 83,855.25
4. Step 4: Simplify right side
   38,162.25x = 7,031,702,952.56
5. Step 5: Solve for x
   x = 7,031,702,952.56/38,162.25
6. Step 6: Final answer
   x = 184,258.08