Finding the Third Proportional to 38,036 and 55,680

Step by Step Solution

1. Step 1: Write the proportion equation
   38,036 : 55,680 = 55,680 : x
2. Step 2: Convert to fraction form
   38,036/55,680 = 55,680/x
3. Step 3: Cross multiply
   38,036x = 55,680 × 55,680
4. Step 4: Simplify right side
   38,036x = 3,100,262,400
5. Step 5: Solve for x
   x = 3,100,262,400/38,036
6. Step 6: Final answer
   x = 81,508.63