Finding the Third Proportional to 38,038 and 55,648

Step by Step Solution

1. Step 1: Write the proportion equation
   38,038 : 55,648 = 55,648 : x
2. Step 2: Convert to fraction form
   38,038/55,648 = 55,648/x
3. Step 3: Cross multiply
   38,038x = 55,648 × 55,648
4. Step 4: Simplify right side
   38,038x = 3,096,699,904
5. Step 5: Solve for x
   x = 3,096,699,904/38,038
6. Step 6: Final answer
   x = 81,410.69