Finding the Third Proportional to 36,892 and 55,365

Step by Step Solution

1. Step 1: Write the proportion equation
   36,892 : 55,365 = 55,365 : x
2. Step 2: Convert to fraction form
   36,892/55,365 = 55,365/x
3. Step 3: Cross multiply
   36,892x = 55,365 × 55,365
4. Step 4: Simplify right side
   36,892x = 3,065,283,225
5. Step 5: Solve for x
   x = 3,065,283,225/36,892
6. Step 6: Final answer
   x = 83,088.02