Finding the Third Proportional to 17,874 and 23,504.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 23,504.63 = 23,504.63 : x
2. Step 2: Convert to fraction form
   17,874/23,504.63 = 23,504.63/x
3. Step 3: Cross multiply
   17,874x = 23,504.63 × 23,504.63
4. Step 4: Simplify right side
   17,874x = 552,467,396.39
5. Step 5: Solve for x
   x = 552,467,396.39/17,874
6. Step 6: Final answer
   x = 30,909.00