Finding the Third Proportional to 38,120 and 57,906

Step by Step Solution

1. Step 1: Write the proportion equation
   38,120 : 57,906 = 57,906 : x
2. Step 2: Convert to fraction form
   38,120/57,906 = 57,906/x
3. Step 3: Cross multiply
   38,120x = 57,906 × 57,906
4. Step 4: Simplify right side
   38,120x = 3,353,104,836
5. Step 5: Solve for x
   x = 3,353,104,836/38,120
6. Step 6: Final answer
   x = 87,961.83