Finding the Third Proportional to 10,299 and 13,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,299 : 13,414.50 = 13,414.50 : x
2. Step 2: Convert to fraction form
   10,299/13,414.50 = 13,414.50/x
3. Step 3: Cross multiply
   10,299x = 13,414.50 × 13,414.50
4. Step 4: Simplify right side
   10,299x = 179,948,810.25
5. Step 5: Solve for x
   x = 179,948,810.25/10,299
6. Step 6: Final answer
   x = 17,472.45