Finding the Third Proportional to 10,780.50 and 16,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,780.50 : 16,645.50 = 16,645.50 : x
2. Step 2: Convert to fraction form
   10,780.50/16,645.50 = 16,645.50/x
3. Step 3: Cross multiply
   10,780.50x = 16,645.50 × 16,645.50
4. Step 4: Simplify right side
   10,780.50x = 277,072,670.25
5. Step 5: Solve for x
   x = 277,072,670.25/10,780.50
6. Step 6: Final answer
   x = 25,701.28