Finding the Third Proportional to 39,538.50 and 85,305.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,538.50 : 85,305.50 = 85,305.50 : x
2. Step 2: Convert to fraction form
   39,538.50/85,305.50 = 85,305.50/x
3. Step 3: Cross multiply
   39,538.50x = 85,305.50 × 85,305.50
4. Step 4: Simplify right side
   39,538.50x = 7,277,028,330.25
5. Step 5: Solve for x
   x = 7,277,028,330.25/39,538.50
6. Step 6: Final answer
   x = 184,049.18