Finding the Third Proportional to 40,965 and 86,052

Step by Step Solution

1. Step 1: Write the proportion equation
   40,965 : 86,052 = 86,052 : x
2. Step 2: Convert to fraction form
   40,965/86,052 = 86,052/x
3. Step 3: Cross multiply
   40,965x = 86,052 × 86,052
4. Step 4: Simplify right side
   40,965x = 7,404,946,704
5. Step 5: Solve for x
   x = 7,404,946,704/40,965
6. Step 6: Final answer
   x = 180,762.77