Finding the Third Proportional to 36,256 and 53,082

Step by Step Solution

1. Step 1: Write the proportion equation
   36,256 : 53,082 = 53,082 : x
2. Step 2: Convert to fraction form
   36,256/53,082 = 53,082/x
3. Step 3: Cross multiply
   36,256x = 53,082 × 53,082
4. Step 4: Simplify right side
   36,256x = 2,817,698,724
5. Step 5: Solve for x
   x = 2,817,698,724/36,256
6. Step 6: Final answer
   x = 77,716.76