Finding the Third Proportional to 38,646 and 55,116

Step by Step Solution

1. Step 1: Write the proportion equation
   38,646 : 55,116 = 55,116 : x
2. Step 2: Convert to fraction form
   38,646/55,116 = 55,116/x
3. Step 3: Cross multiply
   38,646x = 55,116 × 55,116
4. Step 4: Simplify right side
   38,646x = 3,037,773,456
5. Step 5: Solve for x
   x = 3,037,773,456/38,646
6. Step 6: Final answer
   x = 78,605.12