Finding the Third Proportional to 21,876 and 31,599

Step by Step Solution

1. Step 1: Write the proportion equation
   21,876 : 31,599 = 31,599 : x
2. Step 2: Convert to fraction form
   21,876/31,599 = 31,599/x
3. Step 3: Cross multiply
   21,876x = 31,599 × 31,599
4. Step 4: Simplify right side
   21,876x = 998,496,801
5. Step 5: Solve for x
   x = 998,496,801/21,876
6. Step 6: Final answer
   x = 45,643.48