Finding the Third Proportional to 40,964 and 86,885

Step by Step Solution

1. Step 1: Write the proportion equation
   40,964 : 86,885 = 86,885 : x
2. Step 2: Convert to fraction form
   40,964/86,885 = 86,885/x
3. Step 3: Cross multiply
   40,964x = 86,885 × 86,885
4. Step 4: Simplify right side
   40,964x = 7,549,003,225
5. Step 5: Solve for x
   x = 7,549,003,225/40,964
6. Step 6: Final answer
   x = 184,283.84