Finding the Third Proportional to 38,171 and 58,145

Step by Step Solution

1. Step 1: Write the proportion equation
   38,171 : 58,145 = 58,145 : x
2. Step 2: Convert to fraction form
   38,171/58,145 = 58,145/x
3. Step 3: Cross multiply
   38,171x = 58,145 × 58,145
4. Step 4: Simplify right side
   38,171x = 3,380,841,025
5. Step 5: Solve for x
   x = 3,380,841,025/38,171
6. Step 6: Final answer
   x = 88,570.93