Finding the Third Proportional to 11,002.50 and 21,456

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002.50 : 21,456 = 21,456 : x
2. Step 2: Convert to fraction form
   11,002.50/21,456 = 21,456/x
3. Step 3: Cross multiply
   11,002.50x = 21,456 × 21,456
4. Step 4: Simplify right side
   11,002.50x = 460,359,936
5. Step 5: Solve for x
   x = 460,359,936/11,002.50
6. Step 6: Final answer
   x = 41,841.39