Finding the Third Proportional to 10,931 and 16,825.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,931 : 16,825.50 = 16,825.50 : x
2. Step 2: Convert to fraction form
   10,931/16,825.50 = 16,825.50/x
3. Step 3: Cross multiply
   10,931x = 16,825.50 × 16,825.50
4. Step 4: Simplify right side
   10,931x = 283,097,450.25
5. Step 5: Solve for x
   x = 283,097,450.25/10,931
6. Step 6: Final answer
   x = 25,898.59