Finding the Third Proportional to 19,564 and 41,897

Step by Step Solution

1. Step 1: Write the proportion equation
   19,564 : 41,897 = 41,897 : x
2. Step 2: Convert to fraction form
   19,564/41,897 = 41,897/x
3. Step 3: Cross multiply
   19,564x = 41,897 × 41,897
4. Step 4: Simplify right side
   19,564x = 1,755,358,609
5. Step 5: Solve for x
   x = 1,755,358,609/19,564
6. Step 6: Final answer
   x = 89,723.91