Finding the Third Proportional to 10,876.50 and 16,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,876.50 : 16,747.50 = 16,747.50 : x
2. Step 2: Convert to fraction form
   10,876.50/16,747.50 = 16,747.50/x
3. Step 3: Cross multiply
   10,876.50x = 16,747.50 × 16,747.50
4. Step 4: Simplify right side
   10,876.50x = 280,478,756.25
5. Step 5: Solve for x
   x = 280,478,756.25/10,876.50
6. Step 6: Final answer
   x = 25,787.59