Finding the Third Proportional to 17,588 and 23,876

Step by Step Solution

1. Step 1: Write the proportion equation
   17,588 : 23,876 = 23,876 : x
2. Step 2: Convert to fraction form
   17,588/23,876 = 23,876/x
3. Step 3: Cross multiply
   17,588x = 23,876 × 23,876
4. Step 4: Simplify right side
   17,588x = 570,063,376
5. Step 5: Solve for x
   x = 570,063,376/17,588
6. Step 6: Final answer
   x = 32,412.06