Finding the Third Proportional to 38,856 and 85,003

Step by Step Solution

1. Step 1: Write the proportion equation
   38,856 : 85,003 = 85,003 : x
2. Step 2: Convert to fraction form
   38,856/85,003 = 85,003/x
3. Step 3: Cross multiply
   38,856x = 85,003 × 85,003
4. Step 4: Simplify right side
   38,856x = 7,225,510,009
5. Step 5: Solve for x
   x = 7,225,510,009/38,856
6. Step 6: Final answer
   x = 185,956.09