Finding the Third Proportional to 36,906 and 55,405

Step by Step Solution

1. Step 1: Write the proportion equation
   36,906 : 55,405 = 55,405 : x
2. Step 2: Convert to fraction form
   36,906/55,405 = 55,405/x
3. Step 3: Cross multiply
   36,906x = 55,405 × 55,405
4. Step 4: Simplify right side
   36,906x = 3,069,714,025
5. Step 5: Solve for x
   x = 3,069,714,025/36,906
6. Step 6: Final answer
   x = 83,176.56