Finding the Third Proportional to 25,822 and 55,292

Step by Step Solution

1. Step 1: Write the proportion equation
   25,822 : 55,292 = 55,292 : x
2. Step 2: Convert to fraction form
   25,822/55,292 = 55,292/x
3. Step 3: Cross multiply
   25,822x = 55,292 × 55,292
4. Step 4: Simplify right side
   25,822x = 3,057,205,264
5. Step 5: Solve for x
   x = 3,057,205,264/25,822
6. Step 6: Final answer
   x = 118,395.37