Finding the Third Proportional to 36,146 and 55,596

Step by Step Solution

1. Step 1: Write the proportion equation
   36,146 : 55,596 = 55,596 : x
2. Step 2: Convert to fraction form
   36,146/55,596 = 55,596/x
3. Step 3: Cross multiply
   36,146x = 55,596 × 55,596
4. Step 4: Simplify right side
   36,146x = 3,090,915,216
5. Step 5: Solve for x
   x = 3,090,915,216/36,146
6. Step 6: Final answer
   x = 85,511.96