Finding the Third Proportional to 39,766.50 and 85,626.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,766.50 : 85,626.75 = 85,626.75 : x
2. Step 2: Convert to fraction form
   39,766.50/85,626.75 = 85,626.75/x
3. Step 3: Cross multiply
   39,766.50x = 85,626.75 × 85,626.75
4. Step 4: Simplify right side
   39,766.50x = 7,331,940,315.56
5. Step 5: Solve for x
   x = 7,331,940,315.56/39,766.50
6. Step 6: Final answer
   x = 184,374.80