Finding the Third Proportional to 39,837 and 85,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,837 : 85,003.50 = 85,003.50 : x
2. Step 2: Convert to fraction form
   39,837/85,003.50 = 85,003.50/x
3. Step 3: Cross multiply
   39,837x = 85,003.50 × 85,003.50
4. Step 4: Simplify right side
   39,837x = 7,225,595,012.25
5. Step 5: Solve for x
   x = 7,225,595,012.25/39,837
6. Step 6: Final answer
   x = 181,378.99