Finding the Third Proportional to 36,266 and 55,759

Step by Step Solution

1. Step 1: Write the proportion equation
   36,266 : 55,759 = 55,759 : x
2. Step 2: Convert to fraction form
   36,266/55,759 = 55,759/x
3. Step 3: Cross multiply
   36,266x = 55,759 × 55,759
4. Step 4: Simplify right side
   36,266x = 3,109,066,081
5. Step 5: Solve for x
   x = 3,109,066,081/36,266
6. Step 6: Final answer
   x = 85,729.50