Finding the Third Proportional to 10,420.50 and 13,524

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.50 : 13,524 = 13,524 : x
2. Step 2: Convert to fraction form
   10,420.50/13,524 = 13,524/x
3. Step 3: Cross multiply
   10,420.50x = 13,524 × 13,524
4. Step 4: Simplify right side
   10,420.50x = 182,898,576
5. Step 5: Solve for x
   x = 182,898,576/10,420.50
6. Step 6: Final answer
   x = 17,551.80