Finding the Third Proportional to 17,827 and 25,693

Step by Step Solution

1. Step 1: Write the proportion equation
   17,827 : 25,693 = 25,693 : x
2. Step 2: Convert to fraction form
   17,827/25,693 = 25,693/x
3. Step 3: Cross multiply
   17,827x = 25,693 × 25,693
4. Step 4: Simplify right side
   17,827x = 660,130,249
5. Step 5: Solve for x
   x = 660,130,249/17,827
6. Step 6: Final answer
   x = 37,029.80