Finding the Third Proportional to 38,216 and 55,046

Step by Step Solution

1. Step 1: Write the proportion equation
   38,216 : 55,046 = 55,046 : x
2. Step 2: Convert to fraction form
   38,216/55,046 = 55,046/x
3. Step 3: Cross multiply
   38,216x = 55,046 × 55,046
4. Step 4: Simplify right side
   38,216x = 3,030,062,116
5. Step 5: Solve for x
   x = 3,030,062,116/38,216
6. Step 6: Final answer
   x = 79,287.79