Finding the Third Proportional to 36,096 and 55,785

Step by Step Solution

1. Step 1: Write the proportion equation
   36,096 : 55,785 = 55,785 : x
2. Step 2: Convert to fraction form
   36,096/55,785 = 55,785/x
3. Step 3: Cross multiply
   36,096x = 55,785 × 55,785
4. Step 4: Simplify right side
   36,096x = 3,111,966,225
5. Step 5: Solve for x
   x = 3,111,966,225/36,096
6. Step 6: Final answer
   x = 86,213.60