Finding the Third Proportional to 17,876 and 23,507

Step by Step Solution

1. Step 1: Write the proportion equation
   17,876 : 23,507 = 23,507 : x
2. Step 2: Convert to fraction form
   17,876/23,507 = 23,507/x
3. Step 3: Cross multiply
   17,876x = 23,507 × 23,507
4. Step 4: Simplify right side
   17,876x = 552,579,049
5. Step 5: Solve for x
   x = 552,579,049/17,876
6. Step 6: Final answer
   x = 30,911.78