Finding the Third Proportional to 40,074 and 86,034

Step by Step Solution

1. Step 1: Write the proportion equation
   40,074 : 86,034 = 86,034 : x
2. Step 2: Convert to fraction form
   40,074/86,034 = 86,034/x
3. Step 3: Cross multiply
   40,074x = 86,034 × 86,034
4. Step 4: Simplify right side
   40,074x = 7,401,849,156
5. Step 5: Solve for x
   x = 7,401,849,156/40,074
6. Step 6: Final answer
   x = 184,704.53