Finding the Third Proportional to 10,219.50 and 21,897

Step by Step Solution

1. Step 1: Write the proportion equation
   10,219.50 : 21,897 = 21,897 : x
2. Step 2: Convert to fraction form
   10,219.50/21,897 = 21,897/x
3. Step 3: Cross multiply
   10,219.50x = 21,897 × 21,897
4. Step 4: Simplify right side
   10,219.50x = 479,478,609
5. Step 5: Solve for x
   x = 479,478,609/10,219.50
6. Step 6: Final answer
   x = 46,918.01