Finding the Third Proportional to 36,776 and 55,164

Step by Step Solution

1. Step 1: Write the proportion equation
   36,776 : 55,164 = 55,164 : x
2. Step 2: Convert to fraction form
   36,776/55,164 = 55,164/x
3. Step 3: Cross multiply
   36,776x = 55,164 × 55,164
4. Step 4: Simplify right side
   36,776x = 3,043,066,896
5. Step 5: Solve for x
   x = 3,043,066,896/36,776
6. Step 6: Final answer
   x = 82,746