Finding the Third Proportional to 10,524 and 16,090

Step by Step Solution

1. Step 1: Write the proportion equation
   10,524 : 16,090 = 16,090 : x
2. Step 2: Convert to fraction form
   10,524/16,090 = 16,090/x
3. Step 3: Cross multiply
   10,524x = 16,090 × 16,090
4. Step 4: Simplify right side
   10,524x = 258,888,100
5. Step 5: Solve for x
   x = 258,888,100/10,524
6. Step 6: Final answer
   x = 24,599.78