Finding the Third Proportional to 25,797 and 56,516

Step by Step Solution

1. Step 1: Write the proportion equation
   25,797 : 56,516 = 56,516 : x
2. Step 2: Convert to fraction form
   25,797/56,516 = 56,516/x
3. Step 3: Cross multiply
   25,797x = 56,516 × 56,516
4. Step 4: Simplify right side
   25,797x = 3,194,058,256
5. Step 5: Solve for x
   x = 3,194,058,256/25,797
6. Step 6: Final answer
   x = 123,815.10