Finding the Third Proportional to 40,696 and 87,530

Step by Step Solution

1. Step 1: Write the proportion equation
   40,696 : 87,530 = 87,530 : x
2. Step 2: Convert to fraction form
   40,696/87,530 = 87,530/x
3. Step 3: Cross multiply
   40,696x = 87,530 × 87,530
4. Step 4: Simplify right side
   40,696x = 7,661,500,900
5. Step 5: Solve for x
   x = 7,661,500,900/40,696
6. Step 6: Final answer
   x = 188,261.77