Finding the Third Proportional to 38,948 and 57,166

Step by Step Solution

1. Step 1: Write the proportion equation
   38,948 : 57,166 = 57,166 : x
2. Step 2: Convert to fraction form
   38,948/57,166 = 57,166/x
3. Step 3: Cross multiply
   38,948x = 57,166 × 57,166
4. Step 4: Simplify right side
   38,948x = 3,267,951,556
5. Step 5: Solve for x
   x = 3,267,951,556/38,948
6. Step 6: Final answer
   x = 83,905.50