Finding the Third Proportional to 40,670 and 86,524

Step by Step Solution

1. Step 1: Write the proportion equation
   40,670 : 86,524 = 86,524 : x
2. Step 2: Convert to fraction form
   40,670/86,524 = 86,524/x
3. Step 3: Cross multiply
   40,670x = 86,524 × 86,524
4. Step 4: Simplify right side
   40,670x = 7,486,402,576
5. Step 5: Solve for x
   x = 7,486,402,576/40,670
6. Step 6: Final answer
   x = 184,076.78