Finding the Third Proportional to 40,919.50 and 85,970

Step by Step Solution

1. Step 1: Write the proportion equation
   40,919.50 : 85,970 = 85,970 : x
2. Step 2: Convert to fraction form
   40,919.50/85,970 = 85,970/x
3. Step 3: Cross multiply
   40,919.50x = 85,970 × 85,970
4. Step 4: Simplify right side
   40,919.50x = 7,390,840,900
5. Step 5: Solve for x
   x = 7,390,840,900/40,919.50
6. Step 6: Final answer
   x = 180,619.04