Finding the Third Proportional to 36,164 and 55,398

Step by Step Solution

1. Step 1: Write the proportion equation
   36,164 : 55,398 = 55,398 : x
2. Step 2: Convert to fraction form
   36,164/55,398 = 55,398/x
3. Step 3: Cross multiply
   36,164x = 55,398 × 55,398
4. Step 4: Simplify right side
   36,164x = 3,068,938,404
5. Step 5: Solve for x
   x = 3,068,938,404/36,164
6. Step 6: Final answer
   x = 84,861.70