Finding the Third Proportional to 38,144 and 55,484

Step by Step Solution

1. Step 1: Write the proportion equation
   38,144 : 55,484 = 55,484 : x
2. Step 2: Convert to fraction form
   38,144/55,484 = 55,484/x
3. Step 3: Cross multiply
   38,144x = 55,484 × 55,484
4. Step 4: Simplify right side
   38,144x = 3,078,474,256
5. Step 5: Solve for x
   x = 3,078,474,256/38,144
6. Step 6: Final answer
   x = 80,706.64