Finding the Third Proportional to 38,405 and 58,144

Step by Step Solution

1. Step 1: Write the proportion equation
   38,405 : 58,144 = 58,144 : x
2. Step 2: Convert to fraction form
   38,405/58,144 = 58,144/x
3. Step 3: Cross multiply
   38,405x = 58,144 × 58,144
4. Step 4: Simplify right side
   38,405x = 3,380,724,736
5. Step 5: Solve for x
   x = 3,380,724,736/38,405
6. Step 6: Final answer
   x = 88,028.24