Finding the Third Proportional to 38,832.75 and 85,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,832.75 : 85,016.25 = 85,016.25 : x
2. Step 2: Convert to fraction form
   38,832.75/85,016.25 = 85,016.25/x
3. Step 3: Cross multiply
   38,832.75x = 85,016.25 × 85,016.25
4. Step 4: Simplify right side
   38,832.75x = 7,227,762,764.06
5. Step 5: Solve for x
   x = 7,227,762,764.06/38,832.75
6. Step 6: Final answer
   x = 186,125.44