Finding the Third Proportional to 25,814 and 56,326

Step by Step Solution

1. Step 1: Write the proportion equation
   25,814 : 56,326 = 56,326 : x
2. Step 2: Convert to fraction form
   25,814/56,326 = 56,326/x
3. Step 3: Cross multiply
   25,814x = 56,326 × 56,326
4. Step 4: Simplify right side
   25,814x = 3,172,618,276
5. Step 5: Solve for x
   x = 3,172,618,276/25,814
6. Step 6: Final answer
   x = 122,903.01