Finding the Third Proportional to 17,822 and 25,463

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 25,463 = 25,463 : x
2. Step 2: Convert to fraction form
   17,822/25,463 = 25,463/x
3. Step 3: Cross multiply
   17,822x = 25,463 × 25,463
4. Step 4: Simplify right side
   17,822x = 648,364,369
5. Step 5: Solve for x
   x = 648,364,369/17,822
6. Step 6: Final answer
   x = 36,380.00