Finding the Third Proportional to 38,912 and 57,801

Step by Step Solution

1. Step 1: Write the proportion equation
   38,912 : 57,801 = 57,801 : x
2. Step 2: Convert to fraction form
   38,912/57,801 = 57,801/x
3. Step 3: Cross multiply
   38,912x = 57,801 × 57,801
4. Step 4: Simplify right side
   38,912x = 3,340,955,601
5. Step 5: Solve for x
   x = 3,340,955,601/38,912
6. Step 6: Final answer
   x = 85,859.26