Finding the Third Proportional to 38,634 and 55,142

Step by Step Solution

1. Step 1: Write the proportion equation
   38,634 : 55,142 = 55,142 : x
2. Step 2: Convert to fraction form
   38,634/55,142 = 55,142/x
3. Step 3: Cross multiply
   38,634x = 55,142 × 55,142
4. Step 4: Simplify right side
   38,634x = 3,040,640,164
5. Step 5: Solve for x
   x = 3,040,640,164/38,634
6. Step 6: Final answer
   x = 78,703.74