Finding the Third Proportional to 10,570 and 16,506

Step by Step Solution

1. Step 1: Write the proportion equation
   10,570 : 16,506 = 16,506 : x
2. Step 2: Convert to fraction form
   10,570/16,506 = 16,506/x
3. Step 3: Cross multiply
   10,570x = 16,506 × 16,506
4. Step 4: Simplify right side
   10,570x = 272,448,036
5. Step 5: Solve for x
   x = 272,448,036/10,570
6. Step 6: Final answer
   x = 25,775.59