Finding the Third Proportional to 25,846 and 56,534

Step by Step Solution

1. Step 1: Write the proportion equation
   25,846 : 56,534 = 56,534 : x
2. Step 2: Convert to fraction form
   25,846/56,534 = 56,534/x
3. Step 3: Cross multiply
   25,846x = 56,534 × 56,534
4. Step 4: Simplify right side
   25,846x = 3,196,093,156
5. Step 5: Solve for x
   x = 3,196,093,156/25,846
6. Step 6: Final answer
   x = 123,659.10