Finding the Third Proportional to 25,634 and 56,316

Step by Step Solution

1. Step 1: Write the proportion equation
   25,634 : 56,316 = 56,316 : x
2. Step 2: Convert to fraction form
   25,634/56,316 = 56,316/x
3. Step 3: Cross multiply
   25,634x = 56,316 × 56,316
4. Step 4: Simplify right side
   25,634x = 3,171,491,856
5. Step 5: Solve for x
   x = 3,171,491,856/25,634
6. Step 6: Final answer
   x = 123,722.08