Finding the Third Proportional to 10,654 and 25,822

Step by Step Solution

1. Step 1: Write the proportion equation
   10,654 : 25,822 = 25,822 : x
2. Step 2: Convert to fraction form
   10,654/25,822 = 25,822/x
3. Step 3: Cross multiply
   10,654x = 25,822 × 25,822
4. Step 4: Simplify right side
   10,654x = 666,775,684
5. Step 5: Solve for x
   x = 666,775,684/10,654
6. Step 6: Final answer
   x = 62,584.54