Finding the Third Proportional to 25,822 and 56,342

Step by Step Solution

1. Step 1: Write the proportion equation
   25,822 : 56,342 = 56,342 : x
2. Step 2: Convert to fraction form
   25,822/56,342 = 56,342/x
3. Step 3: Cross multiply
   25,822x = 56,342 × 56,342
4. Step 4: Simplify right side
   25,822x = 3,174,420,964
5. Step 5: Solve for x
   x = 3,174,420,964/25,822
6. Step 6: Final answer
   x = 122,934.74