Finding the Third Proportional to 25,897.50 and 34,857

Step by Step Solution

1. Step 1: Write the proportion equation
   25,897.50 : 34,857 = 34,857 : x
2. Step 2: Convert to fraction form
   25,897.50/34,857 = 34,857/x
3. Step 3: Cross multiply
   25,897.50x = 34,857 × 34,857
4. Step 4: Simplify right side
   25,897.50x = 1,215,010,449
5. Step 5: Solve for x
   x = 1,215,010,449/25,897.50
6. Step 6: Final answer
   x = 46,916.13