Finding the Third Proportional to 10,769 and 16,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769 : 16,630.50 = 16,630.50 : x
2. Step 2: Convert to fraction form
   10,769/16,630.50 = 16,630.50/x
3. Step 3: Cross multiply
   10,769x = 16,630.50 × 16,630.50
4. Step 4: Simplify right side
   10,769x = 276,573,530.25
5. Step 5: Solve for x
   x = 276,573,530.25/10,769
6. Step 6: Final answer
   x = 25,682.38