Finding the Third Proportional to 10,006.50 and 13,281

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006.50 : 13,281 = 13,281 : x
2. Step 2: Convert to fraction form
   10,006.50/13,281 = 13,281/x
3. Step 3: Cross multiply
   10,006.50x = 13,281 × 13,281
4. Step 4: Simplify right side
   10,006.50x = 176,384,961
5. Step 5: Solve for x
   x = 176,384,961/10,006.50
6. Step 6: Final answer
   x = 17,627.04