Finding the Third Proportional to 34,857 and 53,860

Step by Step Solution

1. Step 1: Write the proportion equation
   34,857 : 53,860 = 53,860 : x
2. Step 2: Convert to fraction form
   34,857/53,860 = 53,860/x
3. Step 3: Cross multiply
   34,857x = 53,860 × 53,860
4. Step 4: Simplify right side
   34,857x = 2,900,899,600
5. Step 5: Solve for x
   x = 2,900,899,600/34,857
6. Step 6: Final answer
   x = 83,222.87